F04AFF | Solution of real symmetric positive-definite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF) |
F04AGF | Solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by F03AEF) |
F04AHF | Solution of real simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AFF) |
F04AJF | Solution of real simultaneous linear equations (coefficient matrix already factorized by F03AFF) |
F07AHF | Refined solution with error bounds of real system of linear equations, multiple right-hand sides |
F07AVF | Refined solution with error bounds of complex system of linear equations, multiple right-hand sides |
F07BDF | LU factorization of real m by n band matrix |
F07BEF | Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by F07BDF (DGBTRF) |
F07BHF | Refined solution with error bounds of real band system of linear equations, multiple right-hand sides |
F07BRF | LU factorization of complex m by n band matrix |
F07BSF | Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF (ZGBTRF) |
F07BVF | Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides |
F07CHF | Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides |
F07CVF | Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides |
F07FHF | Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides |
F07FVF | Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides |
F07GEF | Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF (DPPTRF), packed storage |
F07GHF | Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage |
F07GSF | Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF (ZPPTRF), packed storage |
F07GVF | Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, packed storage |
F07HEF | Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF (DPBTRF) |
F07HHF | Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides |
F07HSF | Solution of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF (ZPBTRF) |
F07HVF | Refined solution with error bounds of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides |
F07JHF | Refined solution with error bounds of real symmetric positive-definite tridiagonal system of linear equations, multiple right-hand sides |
F07JVF | Refined solution with error bounds of complex Hermitian positive-definite tridiagonal system of linear equations, multiple right-hand sides |
F07MHF | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides |
F07MVF | Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides |
F07NVF | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides |
F07PHF | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage |
F07PVF | Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage |
F07QVF | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage |
F07THF | Error bounds for solution of real triangular system of linear equations, multiple right-hand sides |
F07TVF | Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides |
F07UEF | Solution of real triangular system of linear equations, multiple right-hand sides, packed storage |
F07UHF | Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage |
F07USF | Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage |
F07UVF | Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage |
F07VEF | Solution of real band triangular system of linear equations, multiple right-hand sides |
F07VHF | Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides |
F07VSF | Solution of complex band triangular system of linear equations, multiple right-hand sides |
F07VVF | Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides |
F08HEF | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
F08HSF | Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |
F08JJF | Selected eigenvalues of real symmetric tridiagonal matrix by bisection |
F08JKF | Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array |
F08JXF | Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array |
F08PEF | Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
F08PKF | Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |
F08PSF | Eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
F08PXF | Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |
F08TAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage |
F08TBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage |
F08TCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage (divide-and-conquer) |
F08TNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage |
F08TPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage |
F08TQF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage (divide-and-conquer) |
F11BSF | Complex sparse non-Hermitian linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method |
F11GSF | Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos |
F11MEF | LU factorization of real sparse matrix |
F11MFF | Solution of real sparse simultaneous linear equations (coefficient matrix already factorized) |
F11MHF | Refined solution with error bounds of real system of linear equations, multiple right-hand sides |
F11MKF | Real sparse nonsymmetric matrix matrix multiply, compressed column storage |
F11XNF | Complex sparse non-Hermitian matrix vector multiply |
F11XSF | Complex sparse Hermitian matrix vector multiply |
F12ABF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric sparse (standard or generalized) eigenproblem |
F12AGF | Computes approximations to selected eigenvalues of a real nonsymmetric banded (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
C02AKF | All zeros of real cubic equation |
C02ALF | All zeros of real quartic equation |
C02AMF | All zeros of complex cubic equation |
C02ANF | All zeros of complex quartic equation |
D03FAF | Elliptic PDE, Helmholtz equation, three-dimensional Cartesian co-ordinates |
D03NCF | Finite difference solution of the Black–Scholes equations |
E02RAF | Padé approximants |
E04USF | Minimum of a sum of squares, nonlinear constraints, sequential QP method, using function values and optionally first derivatives (comprehensive) |
E04YCF | Covariance matrix for nonlinear least-squares problem (unconstrained) |
F02ECF | Selected eigenvalues and eigenvectors of real nonsymmetric matrix (Black Box) |
F02WDF | QR factorization, possibly followed by SVD |
F02WUF | SVD of real upper triangular matrix (Black Box) |
F02XUF | SVD of complex upper triangular matrix (Black Box) |
F03ADF | Determinant of complex matrix (Black Box) |
F03AFF | LU factorization and determinant of real matrix |
F04AEF | Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) |
F04ATF | Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box) |
F04BAF | Computes the solution and error-bound to a real system of linear equations |
F04BBF | Computes the solution and error-bound to a real banded system of linear equations |
F04BDF | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations |
F04BEF | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations, packed storage |
F04BFF | Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations |
F04CAF | Computes the solution and error-bound to a complex system of linear equations |
F04CBF | Computes the solution and error-bound to a complex banded system of linear equations |
F04CDF | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations |
F04CEF | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations, packed storage |
F04CFF | Computes the solution and error-bound to a complex Hermitian positive-definite banded system of linear equations |
F04JGF | Least-squares (if rank =n) or minimal least-squares (if rank <n) solution of m real equations in n unknowns, rank ≤n, m≥n |
F07AAF | Computes the solution to a real system of linear equations |
F07ABF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations |
F07ANF | Computes the solution to a complex system of linear equations |
F07APF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations |
F07BAF | Computes the solution to a real banded system of linear equations |
F07BBF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations |
F07BNF | Computes the solution to a complex banded system of linear equations |
F07BPF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations |
F07CBF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations |
F07CPF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations |
F07FAF | Computes the solution to a real symmetric positive-definite system of linear equations |
F07FBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations |
F07FNF | Computes the solution to a complex Hermitian positive-definite system of linear equations |
F07FPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations |
F07GAF | Computes the solution to a real symmetric positive-definite system of linear equations, packed storage |
F07GBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations, packed storage |
F07GNF | Computes the solution to a complex Hermitian positive-definite system of linear equations, packed storage |
F07GPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations, packed storage |
F07HAF | Computes the solution to a real symmetric positive-definite banded system of linear equations |
F07HBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite banded system of linear equations |
F07HNF | Computes the solution to a complex Hermitian positive-definite banded system of linear equations |
F07HPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite banded system of linear equations |
F07JBF | Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite tridiagonal system of linear equations |
F07JPF | Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite tridiagonal system of linear equations |
F07MBF | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations |
F07MPF | Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations |
F07NPF | Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations |
F07PBF | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage |
F07PPF | Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage |
F07QPF | Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage |
F08AAF | Solves an overdetermined or underdetermined real linear system |
F08ANF | Solves an overdetermined or underdetermined complex linear system |
F08BAF | Computes the minimum-norm solution to a real linear least-squares problem |
F08BFF | QR factorization of real general rectangular matrix with column pivoting, using BLAS-3 |
F08BNF | Computes the minimum-norm solution to a complex linear least-squares problem |
F08BTF | QR factorization of complex general rectangular matrix with column pivoting, using BLAS-3 |
F08FAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
F08FBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
F08FDF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (Relatively Robust Representations) |
F08FNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
F08FPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
F08FRF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (Relatively Robust Representations) |
F08GAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
F08GBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
F08GNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage |
F08GPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage |
F08HAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
F08HBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
F08HNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
F08HPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
F08JAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
F08JBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
F08JDF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust Representations) |
F08JHF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a matrix reduced to this form (divide-and-conquer) |
F08JLF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a symmetric matrix reduced to this form (Relatively Robust Representations) |
F08JVF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (divide-and-conquer) |
F08JYF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (Relatively Robust Representations) |
F08KAF | Computes the minimum-norm solution to a real linear least-squares problem using singular value decomposition |
F08KBF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors |
F08KCF | Computes the minimum-norm solution to a real linear least-squares problem using singular value decomposition (divide-and-conquer) |
F08KDF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
F08KNF | Computes the minimum-norm solution to a complex linear least-squares problem using singular value decomposition |
F08KPF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors |
F08KQF | Computes the minimum-norm solution to a complex linear least-squares problem using singular value decomposition (divide-and-conquer) |
F08KRF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
F08MDF | Computes the singular value decomposition of a real bidiagonal matrix, optionally computing the singular vectors (divide-and-conquer) |
F08NAF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix |
F08NBF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08NNF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix |
F08NPF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08PAF | Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors |
F08PBF | Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08PNF | Computes for complex square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors |
F08PPF | Computes for real square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08SAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
F08SBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
F08SCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (divide-and-conquer) |
F08SNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
F08SPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
F08SQF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (divide-and-conquer) |
F08UAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
F08UBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
F08UCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem (divide-and-conquer) |
F08UNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
F08UPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
F08UQF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem (divide-and-conquer) |
F08WAF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
F08WBF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08WNF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
F08WPF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08XAF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors |
F08XBF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08XNF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors |
F08XPF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08ZAF | Solves the real linear equality-constrained least-squares (LSE) problem |
F08ZBF | Solves a real general Gauss–Markov linear model (GLM) problem |
F08ZEF | Computes a generalized QR factorization of a real matrix pair |
F08ZFF | Computes a generalized RQ factorization of a real matrix pair |
F08ZNF | Solves the complex linear equality-constrained least-squares (LSE) problem |
F08ZPF | Solves a complex general Gauss–Markov linear model (GLM) problem |
F08ZSF | Computes a generalized QR factorization of a complex matrix pair |
F08ZTF | Computes a generalized RQ factorization of a complex matrix pair |
F11DCF | Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DAF |
F11DEF | Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB, or TFQMR method, Jacobi or SSOR preconditioner (Black Box) |
F11DKF | Real sparse nonsymmetric linear systems, line Jacobi preconditioner |
F11DQF | Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DNF (Black Box) |
F11DSF | Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner Black Box |
F11DXF | Complex sparse nonsymmetric linear systems, line Jacobi preconditioner |
F11JCF | Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JAF (Black Box) |
F11JEF | Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |
F11JQF | Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JNF (Black Box) |
F11JSF | Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |
F12FCF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a real symmetric sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12FGF | Computes approximations to selected eigenvalues of a real symmetric banded (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
G01HBF | Computes probabilities for the multivariate Normal distribution |
G02BYF | Computes partial correlation/variance-covariance matrix from correlation/variance-covariance matrix computed by G02BXF |
G02DDF | Estimates of linear parameters and general linear regression model from updated model |
G02DKF | Estimates and standard errors of parameters of a general linear regression model for given constraints |
G02GKF | Estimates and standard errors of parameters of a general linear model for given constraints |
G02HDF | Robust regression, compute regression with user-supplied functions and weights |
G02JAF | Linear mixed effects regression using Restricted Maximum Likelihood (REML) |
G03FAF | Performs principal co-ordinate analysis, classical metric scaling |
G05PCF | Generates a realisation of a multivariate time series from a VARMA model |
G11CAF | Returns parameter estimates for the conditional analysis of stratified data |
G12BAF | Fits Cox's proportional hazard model |
G13ADF | Univariate time series, preliminary estimation, seasonal ARIMA model |
G13DXF | Calculates the zeros of a vector autoregressive (or moving average) operator |
G13FAF | Univariate time series, parameter estimation for either a symmetric GARCH process or a GARCH process with asymmetry of the form (ε_{t-1}+γ)^{2} |
G13FCF | Univariate time series, parameter estimation for a GARCH process with asymmetry of the form (|ε_{t-1}|+γε_{t-1})^{2} |
G13FEF | Univariate time series, parameter estimation for an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process |
G13FGF | Univariate time series, parameter estimation for an exponential GARCH (EGARCH) process |
A00ACF | Check availability of a valid licence key |
C02AKF | All zeros of real cubic equation |
C02ALF | All zeros of real quartic equation |
C02AMF | All zeros of complex cubic equation |
C02ANF | All zeros of complex quartic equation |
D03NCF | Finite difference solution of the Black–Scholes equations |
D03NDF | Analytic solution of the Black–Scholes equations |
D03NEF | Compute average values for D03NDF |
D06AAF | Generates a two-dimensional mesh using a simple incremental method |
D06ABF | Generates a two-dimensional mesh using a Delaunay–Voronoi process |
D06ACF | Generates a two-dimensional mesh using an Advancing-front method |
D06BAF | Generates a boundary mesh |
D06CAF | Uses a barycentering technique to smooth a given mesh |
D06CBF | Generates a sparsity pattern of a Finite Element matrix associated with a given mesh |
D06CCF | Renumbers a given mesh using Gibbs method |
D06DAF | Generates a mesh resulting from an affine transformation of a given mesh |
D06DBF | Joins together two given adjacent (possibly overlapping) meshes |
E04NPF | Initialization routine for E04NQF |
E04NQF | LP or QP problem (suitable for sparse problems) |
E04NRF | Supply optional parameter values for E04NQF from external file |
E04NSF | Set a single option for E04NQF from a character string |
E04NTF | Set a single option for E04NQF from an INTEGER argument |
E04NUF | Set a single option for E04NQF from a double precision argument |
E04NXF | Get the setting of an INTEGER valued option of E04NQF |
E04NYF | Get the setting of a double precision valued option of E04NQF |
E04USF | Minimum of a sum of squares, nonlinear constraints, sequential QP method, using function values and optionally first derivatives (comprehensive) |
E04VGF | Initialization routine for E04VHF |
E04VHF | General sparse nonlinear optimizer |
E04VJF | Determine the pattern of nonzeros in the Jacobian matrix for E04VHF |
E04VKF | Supply optional parameter values for E04VHF from external file |
E04VLF | Set a single option for E04VHF from a character string |
E04VMF | Set a single option for E04VHF from an INTEGER argument |
E04VNF | Set a single option for E04VHF from a double precision argument |
E04VRF | Get the setting of an INTEGER valued option of E04VHF |
E04VSF | Get the setting of a double precision valued option of E04VHF |
E04WBF | Initialization routine for E04DGA E04MFA E04NCA E04NFA E04UFA E04UGA E04USA |
E04WCF | Initialization routine for E04WDF |
E04WDF | Solves the nonlinear programming (NP) problem |
E04WEF | Supply optional parameter values for E04WDF from external file |
E04WFF | Set a single option for E04WDF from a character string |
E04WGF | Set a single option for E04WDF from an INTEGER argument |
E04WHF | Set a single option for E04WDF from a double precision argument |
E04WJF | Determine whether an E04WDF option has been set or not |
E04WKF | Get the setting of an INTEGER valued option of E04WDF |
E04WLF | Get the setting of a double precision valued option of E04WDF |
F04BAF | Computes the solution and error-bound to a real system of linear equations |
F04BBF | Computes the solution and error-bound to a real banded system of linear equations |
F04BCF | Computes the solution and error-bound to a real tridiagonal system of linear equations |
F04BDF | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations |
F04BEF | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations, packed storage |
F04BFF | Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations |
F04BGF | Computes the solution and error-bound to a real symmetric positive-definite tridiagonal system of linear equations |
F04BHF | Computes the solution and error-bound to a real symmetric system of linear equations |
F04BJF | Computes the solution and error-bound to a real symmetric system of linear equations, packed storage |
F04CAF | Computes the solution and error-bound to a complex system of linear equations |
F04CBF | Computes the solution and error-bound to a complex banded system of linear equations |
F04CCF | Computes the solution and error-bound to a complex tridiagonal system of linear equations |
F04CDF | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations |
F04CEF | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations, packed storage |
F04CFF | Computes the solution and error-bound to a complex Hermitian positive-definite banded system of linear equations |
F04CGF | Computes the solution and error-bound to a complex Hermitian positive-definite tridiagonal system of linear equations |
F04CHF | Computes the solution and error-bound to a complex Hermitian system of linear equations |
F04CJF | Computes the solution and error-bound to a complex Hermitian system of linear equations, packed storage |
F04DHF | Computes the solution and error-bound to a complex symmetric system of linear equations |
F04DJF | Computes the solution and error-bound to a complex symmetric system of linear equations, packed storage. |
F06FEF | Multiply real vector by reciprocal of scalar |
F06KEF | Multiply complex vector by reciprocal of real scalar |
F06RNF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real tridiagonal matrix |
F06RPF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric tridiagonal matrix |
F06TAF | Matrix-vector product, complex symmetric matrix |
F06TBF | Rank-1 update, complex symetric matrix |
F06TCF | Matrix-vector product, complex symmetric packed matrix |
F06TDF | Rank-1 update, complex symetric packed matrix |
F06UNF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex tridiagonal matrix |
F06UPF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian tridiagonal matrix |
F07AAF | Computes the solution to a real system of linear equations |
F07ABF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations |
F07AFF | Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number |
F07ANF | Computes the solution to a complex system of linear equations |
F07APF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations |
F07ATF | Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number |
F07BAF | Computes the solution to a real banded system of linear equations |
F07BBF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations |
F07BFF | Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number |
F07BNF | Computes the solution to a complex banded system of linear equations |
F07BPF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations |
F07BTF | Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number |
F07CAF | Computes the solution to a real tridiagonal system of linear equations |
F07CBF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations |
F07CDF | LU factorization of real tridiagonal matrix |
F07CEF | Solves a real tridiagonal system of linear equations using the LU factorization computed by F07CDF (DGTTRF) |
F07CGF | Estimates the reciprocal of the condition number of a real tridiagonal matrix using the LU factorization computed by F07CDF (DGTTRF) |
F07CHF | Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides |
F07CNF | Computes the solution to a complex tridiagonal system of linear equations |
F07CPF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations |
F07CRF | LU factorization of complex tridiagonal matrix |
F07CSF | Solves a complex tridiagonal system of linear equations using the LU factorization computed by F07CDF (DGTTRF) |
F07CUF | Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by F07CDF (DGTTRF) |
F07CVF | Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides |
F07FAF | Computes the solution to a real symmetric positive-definite system of linear equations |
F07FBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations |
F07FFF | Computes row and column scalings intended to equilibrate a real symmetric positive-definite matrix and reduce its condition number |
F07FNF | Computes the solution to a complex Hermitian positive-definite system of linear equations |
F07FPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations |
F07FTF | Computes row and column scalings intended to equilibrate a complex Hermitian positive-definite matrix and reduce its condition number |
F07GAF | Computes the solution to a real symmetric positive-definite system of linear equations, packed storage |
F07GBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations, packed storage |
F07GFF | Computes row and column scalings intended to equilibrate a real symmetric positive-definite matrix and reduce its condition number, packed storage |
F07GNF | Computes the solution to a complex Hermitian positive-definite system of linear equations, packed storage |
F07GPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations, packed storage |
F07GTF | Computes row and column scalings intended to equilibrate a complex Hermitian positive-definite matrix and reduce its condition number, packed storage |
F07HAF | Computes the solution to a real symmetric positive-definite banded system of linear equations |
F07HBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite banded system of linear equations |
F07HFF | Computes row and column scalings intended to equilibrate a real symmetric positive-definite banded matrix and reduce its condition number |
F07HNF | Computes the solution to a complex Hermitian positive-definite banded system of linear equations |
F07HPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite banded system of linear equations |
F07HTF | Computes row and column scalings intended to equilibrate a complex Hermitian positive-definite banded matrix and reduce its condition number |
F07JAF | Computes the solution to a real symmetric positive-definite tridiagonal system of linear equations |
F07JBF | Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite tridiagonal system of linear equations |
F07JDF | Computes the modified Cholesky factorization of a real symmetric positive-definite tridiagonal matrix |
F07JEF | Solution of real symmetric tridiagonal linear system, matrix already factorized by F07JDF (DPTTRF) |
F07JGF | Computes the reciprocal of the condition number of a real symmetric positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JDF (DPTTRF) |
F07JHF | Refined solution with error bounds of real symmetric positive-definite tridiagonal system of linear equations, multiple right-hand sides |
F07JNF | Computes the solution to a complex Hermitian positive-definite tridiagonal system of linear equations |
F07JPF | Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite tridiagonal system of linear equations |
F07JRF | Computes the modified Cholesky factorization of a complex Hermitian positive-definite tridiagonal matrix |
F07JSF | Solves a complex Hermitian positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JRF (ZPTTRF) |
F07JUF | Computes the reciprocal of the condition number of a complex Hermitian positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JRF (ZPTTRF) |
F07JVF | Refined solution with error bounds of complex Hermitian positive-definite tridiagonal system of linear equations, multiple right-hand sides |
F07MAF | Computes the solution to a real symmetric system of linear equations |
F07MBF | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations |
F07MNF | Computes the solution to a complex Hermitian system of linear equations |
F07MPF | Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations |
F07NNF | Computes the solution to a complex symmetric system of linear equations |
F07NPF | Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations |
F07PAF | Computes the solution to a real symmetric system of linear equations, packed storage |
F07PBF | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage |
F07PNF | Computes the solution to a complex Hermitian system of linear equations, packed storage |
F07PPF | Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage |
F07QNF | Computes the solution to a complex symmetric system of linear equations, packed storage |
F07QPF | Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage |
F08AAF | Solves an overdetermined or underdetermined real linear system |
F08ANF | Solves an overdetermined or underdetermined complex linear system |
F08BAF | Computes the minimum-norm solution to a real linear least-squares problem |
F08BFF | QR factorization of real general rectangular matrix with column pivoting, using BLAS-3 |
F08BHF | Reduces a real upper trapezoidal matrix to upper triangular form |
F08BKF | Apply orthogonal transformation determined by F08BHF (DTZRZF) |
F08BNF | Computes the minimum-norm solution to a complex linear least-squares problem |
F08BTF | QR factorization of complex general rectangular matrix with column pivoting, using BLAS-3 |
F08BVF | Reduces a complex upper trapezoidal matrix to upper triangular form |
F08BXF | Apply unitary transformation determined by F08BVF (ZTZRZF) |
F08CEF | QL factorization of real general rectangular matrix |
F08CFF | Form all or part of orthogonal Q from QL factorization determined by F08CEF (DGEQLF) |
F08CGF | Apply orthogonal transformation determined by F08CEF (DGEQLF) |
F08CHF | RQ factorization of real general rectangular matrix |
F08CJF | Form all or part of orthogonal Q from RQ factorization determined by F08CHF (DGERQF) |
F08CKF | Apply orthogonal transformation determined by F08CHF (DGERQF) |
F08CSF | QL factorization of complex general rectangular matrix |
F08CTF | Form all or part of orthogonal Q from QL factorization determined by F08CSF (ZGEQLF) |
F08CUF | Apply unitary transformation determined by F08CSF (ZGEQLF) |
F08CVF | RQ factorization of complex general rectangular matrix |
F08CWF | Form all or part of orthogonal Q from RQ factorization determined by F08CVF (ZGERQF) |
F08CXF | Apply unitary transformation determined by F08CVF (ZGERQF) |
F08FAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
F08FBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
F08FDF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (Relatively Robust Representations) |
F08FLF | Computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general matrix |
F08FNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
F08FPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
F08FRF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (Relatively Robust Representations) |
F08GAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
F08GBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
F08GNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage |
F08GPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage |
F08HAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
F08HBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
F08HNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
F08HPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
F08JAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
F08JBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
F08JDF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust Representations) |
F08JHF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a matrix reduced to this form (divide-and-conquer) |
F08JLF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a symmetric matrix reduced to this form (Relatively Robust Representations) |
F08JVF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (divide-and-conquer) |
F08JYF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (Relatively Robust Representations) |
F08KAF | Computes the minimum-norm solution to a real linear least-squares problem using singular value decomposition |
F08KBF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors |
F08KCF | Computes the minimum-norm solution to a real linear least-squares problem using singular value decomposition (divide-and-conquer) |
F08KDF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
F08KNF | Computes the minimum-norm solution to a complex linear least-squares problem using singular value decomposition |
F08KPF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors |
F08KQF | Computes the minimum-norm solution to a complex linear least-squares problem using singular value decomposition (divide-and-conquer) |
F08KRF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
F08MDF | Computes the singular value decomposition of a real bidiagonal matrix, optionally computing the singular vectors (divide-and-conquer) |
F08NAF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix |
F08NBF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08NNF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix |
F08NPF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08PAF | Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors |
F08PBF | Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08PNF | Computes for complex square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors |
F08PPF | Computes for real square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08SAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
F08SBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
F08SCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (divide-and-conquer) |
F08SNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
F08SPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
F08SQF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (divide-and-conquer) |
F08TAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage |
F08TBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage |
F08TCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage (divide-and-conquer) |
F08TNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage |
F08TPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage |
F08TQF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage (divide-and-conquer) |
F08UAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
F08UBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
F08UCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem (divide-and-conquer) |
F08UNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
F08UPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
F08UQF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem (divide-and-conquer) |
F08VAF | Computes the generalized singular value decomposition of a real matrix pair |
F08VEF | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a real matrix pair |
F08VNF | Computes the generalized singular value decomposition of a complex matrix pair |
F08VSF | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a complex matrix pair |
F08WAF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
F08WBF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08WEF | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
F08WHF | Balance a pair of real general matrices |
F08WJF | Transform eigenvectors of a pair of real balanced matrices to those of original matrix pair supplied to F08WHF (DGGBAL) |
F08WNF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
F08WPF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08WSF | Unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form |
F08WVF | Balance a pair of complex general matrices |
F08WWF | Transform eigenvectors of a pair of complex balanced matrices to those of original matrix pair supplied to F08WVF (ZGGBAL) |
F08XAF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors |
F08XBF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08XEF | Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices |
F08XNF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors |
F08XPF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08XSF | Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex general matrices |
F08YEF | Computes the generalized singular value decomposition of a real upper triangular (or trapezoidal) matrix pair |
F08YFF | Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation |
F08YGF | Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation, computes the generalized eigenvalues of the reordered pair and, optionally, computes the estimates of reciprocal condition numbers for eigenvalues and eigenspaces |
F08YHF | Solves the real-valued generalized Sylvester equation |
F08YKF | Left and right eigenvectors of a pair of real upper quasi-triangular matrices |
F08YLF | Estimates reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a real matrix pair in generalized real Schur canonical form |
F08YSF | Computes the generalized singular value decomposition of a complex upper triangular (or trapezoidal) matrix pair |
F08YTF | Reorders the generalized Schur decomposition of a complex matrix pair using an unitary equivalence transformation |
F08YUF | Reorders the generalized Schur decomposition of a complex matrix pair using an unitary equivalence transformation, computes the generalized eigenvalues of the reordered pair and, optionally, computes the estimates of reciprocal condition numbers for eigenvalues and eigenspaces |
F08YVF | Solves the complex generalized Sylvester equation |
F08YXF | Left and right eigenvectors of a pair of complex upper triangular matrices |
F08YYF | Estimates reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a complex matrix pair in generalized Schur canonical form |
F08ZAF | Solves the real linear equality-constrained least-squares (LSE) problem |
F08ZBF | Solves a real general Gauss–Markov linear model (GLM) problem |
F08ZEF | Computes a generalized QR factorization of a real matrix pair |
F08ZFF | Computes a generalized RQ factorization of a real matrix pair |
F08ZNF | Solves the complex linear equality-constrained least-squares (LSE) problem |
F08ZPF | Solves a complex general Gauss–Markov linear model (GLM) problem |
F08ZSF | Computes a generalized QR factorization of a complex matrix pair |
F08ZTF | Computes a generalized RQ factorization of a complex matrix pair |
F11DXF | Complex sparse nonsymmetric linear systems, line Jacobi preconditioner |
F11GRF | Complex sparse Hermitian linear systems, setup for F11GSF |
F11GSF | Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos |
F11GTF | Complex sparse Hermitian linear systems, diagnostic for F11GSF |
F11MDF | Real sparse nonsymmetric linear systems, setup for F11MEF |
F11MEF | LU factorization of real sparse matrix |
F11MFF | Solution of real sparse simultaneous linear equations (coefficient matrix already factorized) |
F11MGF | Estimate condition number of real matrix, matrix already factorized by F11MEF |
F11MHF | Refined solution with error bounds of real system of linear equations, multiple right-hand sides |
F11MKF | Real sparse nonsymmetric matrix matrix multiply, compressed column storage |
F11MLF | 1-norm, ∞-norm, largest absolute element, real general matrix |
F11MMF | Real sparse nonsymmetric linear systems, diagnostic for F11MEF |
F12AAF | Initialization routine for (F12ABF) computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric sparse (standard or generalized) eigenproblem |
F12ABF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric sparse (standard or generalized) eigenproblem |
F12ACF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a real nonsymmetric sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12ADF | Set a single option from a string (F12ABF/F12ACF/F12AGF) |
F12AEF | Provides monitoring information for F12ABF |
F12AFF | Initialization routine for (F12AGF) computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric banded (standard or generalized) eigenproblem |
F12AGF | Computes approximations to selected eigenvalues of a real nonsymmetric banded (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12ANF | Initialization routine for (F12APF) computing selected eigenvalues and, optionally, eigenvectors of a complex sparse (standard or generalized) eigenproblem |
F12APF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a complex sparse (standard or generalized) eigenproblem |
F12AQF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a complex sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12ARF | Set a single option from a string (F12APF/F12AQF) |
F12ASF | Provides monitoring information for F12APF |
F12FAF | Initialization routine for (F12FBF) computing selected eigenvalues and, optionally, eigenvectors of a real symmetric sparse (standard or generalized) eigenproblem |
F12FBF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a real symmetric sparse (standard or generalized) eigenproblem |
F12FCF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a real symmetric sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12FDF | Set a single option from a string (F12FBF/F12FCF/F12FGF) |
F12FEF | Provides monitoring information for F12FBF |
F12FFF | Initialization routine for (F12FGF) computing selected eigenvalues and, optionally, eigenvectors of a real symmetric banded (standard or generalized) eigenproblem |
F12FGF | Computes approximations to selected eigenvalues of a real symmetric banded (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
G01ETF | Landau distribution function Φ (λ) |
G01EUF | Vavilov distribution function Φ_{V}(λ;κ,β^{2}) |
G01FTF | Landau inverse function Ψ(x) |
G01MTF | Landau density function φ (λ) |
G01MUF | Vavilov density function φ_{V} (λ;κ,β^{2}) |
G01PTF | Landau first moment function Φ_{1}(x) |
G01QTF | Landau second moment function Φ_{2}(x) |
G01RTF | Landau derivative function φ′(λ) |
G01ZUF | Initialization routine for G01MUF and G01EUF |
G02EFF | Stepwise linear regression |
G02JAF | Linear mixed effects regression using Restricted Maximum Likelihood (REML) |
G02JBF | Linear mixed effects regression using Maximum Likelihood (ML) |
G05HKF | Univariate time series, generate n terms of either a symmetric GARCH process or a GARCH process with asymmetry of the form (ε_{t-1}+γ)^{2} |
G05HLF | Univariate time series, generate n terms of a GARCH process with asymmetry of the form (|ε_{t-1}|+γε_{t-1})^{2} |
G05HMF | Univariate time series, generate n terms of an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process |
G05HNF | Univariate time series, generate n terms of an exponential GARCH (EGARCH) process |
G05KAF | Pseudo-random real numbers, uniform distribution over (0,1), seeds and generator number passed explicitly |
G05KBF | Initialize seeds of a given generator for random number generating routines (that pass seeds explicitly) to give a repeatable sequence |
G05KCF | Initialize seeds of a given generator for random number generating routines (that pass seeds expicitly) to give non-repeatable sequence |
G05KEF | Pseudo-random logical (boolean) value, seeds and generator number passed explicitly |
G05LAF | Generates a vector of random numbers from a Normal distribution, seeds and generator number passed explicitly |
G05LBF | Generates a vector of random numbers from a Student's t-distribution, seeds and generator number passed explicitly |
G05LCF | Generates a vector of random numbers from a χ^{2} distribution, seeds and generator number passed explicitly |
G05LDF | Generates a vector of random numbers from an F-distribution, seeds and generator number passed explicitly |
G05LEF | Generates a vector of random numbers from a β distribution, seeds and generator number passed explicitly |
G05LFF | Generates a vector of random numbers from a γ distribution, seeds and generator number passed explicitly |
G05LGF | Generates a vector of random numbers from a uniform distribution, seeds and generator number passed explicitly |
G05LHF | Generates a vector of random numbers from a triangular distribution, seeds and generator number passed explicitly |
G05LJF | Generates a vector of random numbers from an exponential distribution, seeds and generator number passed explicitly |
G05LKF | Generates a vector of random numbers from a lognormal distribution, seeds and generator number passed explicitly |
G05LLF | Generates a vector of random numbers from a Cauchy distribution, seeds and generator number passed explicitly |
G05LMF | Generates a vector of random numbers from a Weibull distribution, seeds and generator number passed explicitly |
G05LNF | Generates a vector of random numbers from a logistic distribution, seeds and generator number passed explicitly |
G05LPF | Generates a vector of random numbers from a von Mises distribution, seeds and generator number passed explicitly |
G05LQF | Generates a vector of random numbers from an exponential mixture distribution, seeds and generator number passed explicitly |
G05LXF | Generates a matrix of random numbers from a multivariate Student's t-distribution, seeds and generator passed explicitly |
G05LYF | Generates a matrix of random numbers from a multivariate Normal distribution, seeds and generator passed explicitly |
G05LZF | Generates a vector of random numbers from a multivariate Normal distribution, seeds and generator number passed explicitly |
G05MAF | Generates a vector of random integers from a uniform distribution, seeds and generator number passed explicitly |
G05MBF | Generates a vector of random integers from a geometric distribution, seeds and generator number passed explicitly |
G05MCF | Generates a vector of random integers from a negative binomial distribution, seeds and generator number passed explicitly |
G05MDF | Generates a vector of random integers from a logarithmic distribution, seeds and generator number passed explicitly |
G05MEF | Generates a vector of random integers from a Poisson distribution with varying mean, seeds and generator number passed explicitly |
G05MJF | Generates a vector of random integers from a binomial distribution, seeds and generator number passed explicitly |
G05MKF | Generates a vector of random integers from a Poisson distribution, seeds and generator number passed explicitly |
G05MLF | Generates a vector of random integers from a hypergeometric distribution, seeds and generator number passed explicitly |
G05MRF | Generates a vector of random integers from a multinomial distribution, seeds and generator number passed explicitly |
G05MZF | Generates a vector of random integers from a general discrete distribution, seeds and generator number passed explicitly |
G05NAF | Pseudo-random permutation of an integer vector |
G05NBF | Pseudo-random sample from an integer vector |
G05PAF | Generates a realisation of a time series from an ARMA model |
G05PCF | Generates a realisation of a multivariate time series from a VARMA model |
G05QAF | Computes a random orthogonal matrix |
G05QBF | Computes a random correlation matrix |
G05QDF | Generates a random table matrix |
G05RAF | Generates a matrix of random numbers from a Gaussian Copula, seeds and generator passed explicitly |
G05RBF | Generates a matrix of random numbers from a Student's t-Copula, seeds and generator passed explicitly |
G05YAF | Multi-dimensional quasi-random number generator with a uniform probability distribution |
G05YBF | Multi-dimensional quasi-random number generator with a Gaussian or log-normal probability distribution |
G05YCF | Initializes the Faure generator (G05YDF/G05YJF/G05YKF) |
G05YDF | Generates a sequence of quasi-random numbers using Faure's method |
G05YEF | Initializes the Sobol generator (G05YFF/G05YJF/G05YKF) |
G05YFF | Generates a sequence of quasi-random numbers using Sobol's method |
G05YGF | Initializes the Neiderreiter generator (G05YHF/G05YJF/G05YKF) |
G05YHF | Generates a sequence of quasi-random numbers using Neiderreiter's method |
G05YJF | Generates a Normal quasi-random number sequence using Faure's, Sobol's or Neiderreiter's method |
G05YKF | Generates a log-Normal quasi-random number sequence using Faure's, Sobol's or Neiderreiter's method |
G13FAF | Univariate time series, parameter estimation for either a symmetric GARCH process or a GARCH process with asymmetry of the form (ε_{t-1}+γ)^{2} |
G13FBF | Univariate time series, forecast function for either a symmetric GARCH process or a GARCH process with asymmetry of the form (ε_{t-1}+γ)^{2} |
G13FCF | Univariate time series, parameter estimation for a GARCH process with asymmetry of the form (|ε_{t-1}|+γε_{t-1})^{2} |
G13FDF | Univariate time series, forecast function for a GARCH process with asymmetry of the form (|ε_{t-1}|+γε_{t-1})^{2} |
G13FEF | Univariate time series, parameter estimation for an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process |
G13FFF | Univariate time series, forecast function for an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process |
G13FGF | Univariate time series, parameter estimation for an exponential GARCH (EGARCH) process |
G13FHF | Univariate time series, forecast function for an exponential GARCH (EGARCH) process |
S14AEF | Polygamma function ψ^{(n)}(x) for real x |
S14AFF | Polygamma function ψ^{(n)}(z) for complex z |
S14AGF | Logarithm of the Gamma function lnΓ(z) |
S17ALF | Zeros of Bessel functions J_{α}(x), J_{α}′(x), Y_{α}(x) or Y_{α}′(x) |
S18GKF | Bessel function of the 1st kind J_{α±n}(z) |
S21CBF | Jacobian elliptic functions sn, cn and dn of complex argument |
S21CCF | Jacobian theta functions θ_{k}(x,q) of real argument |
S21DAF | General elliptic integral of 2nd kind F(z,k′,a,b) of complex argument |
S22AAF | Legendre functions of 1st kind P_{n}^{m}(x) or P_{n}^{m}(x) |
Routines Scheduled for Withdrawal |
Replacement Routine(s) |
G05FAF | G05LGF |
G05FBF | G05LJF |
G05FDF | G05LAF |
G05FEF | G05LEF |
G05FFF | G05LFF |
G05FSF | G05LPF |
G05GAF | G05QAF |
G05GBF | G05QBF |
G05HDF | G05PCF |
Withdrawn Routine |
Replacement Routine(s) |
E01SEF | E01SGF |
E01SFF | E01SHF |
F11BAF | F11BDF |
F11BBF | F11BEF |
F11BCF | F11BFF |
Routine Scheduled for Withdrawal |
Replacement Routine(s) |
E04UNF | E04USF/E04USA |
F11GAF | F11GDF |
F11GBF | F11GEF |
F11GCF | F11GFF |
G05CAF | G05KAF |
G05CBF | G05KBF |
G05CCF | G05KCF |
G05CFF | F06DFF |
G05CGF | F06DFF |
G05DAF | G05LGF |
G05DBF | G05LJF |
G05DCF | G05LNF |
G05DDF | G05LAF |
G05DEF | G05LKF |
G05DFF | G05LLF |
G05DHF | G05LCF |
G05DJF | G05LBF |
G05DKF | G05LDF |
G05DPF | G05LMF |
G05DRF | G05MEF |
G05DYF | G05MAF |
G05DZF | G05KEF |
G05EAF | G05LZF |
G05EBF | G05MAF |
G05ECF | G05MKF |
G05EDF | G05MJF |
G05EEF | G05MCF |
G05EFF | G05MLF |
G05EGF | G05PAF |
G05EHF | G05NAF |
G05EJF | G05NBF |
G05EWF | G05PAF |
G05EXF | G05MZF |
G05EYF | G05MZF |
G05EZF | G05LZF |
G05FAF | G05LGF |
G05FBF | G05LJF |
G05FDF | G05LAF |
G05FEF | G05LEF |
G05FFF | G05LFF |
G05FSF | G05LPF |
G05GAF | G05QAF |
G05GBF | G05QBF |
G05HDF | G05PCF |
G05ZAF | No replacement document required |