f07abc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations |

f07afc | Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number |

f07agc | Estimate condition number of real matrix, matrix already factorized by f07adc |

f07apc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations |

f07atc | Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number |

f07auc | Estimate condition number of complex matrix, matrix already factorized by f07arc |

f07bbc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations |

f07bfc | Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number |

f07bgc | Estimate condition number of real band matrix, matrix already factorized by f07bdc |

f07bpc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations |

f07btc | Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number |

f07buc | Estimate condition number of complex band matrix, matrix already factorized by f07brc |

f07cbc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations |

f07cgc | Estimates the reciprocal of the condition number of a real tridiagonal matrix using the LU factorization computed by f07cdc |

f07cpc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations |

f07cuc | Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by f07cdc |

f07fbc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations |

f07ffc | Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number |

f07fgc | Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdc |

f07fpc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations |

f07ftc | Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number |

f07fuc | Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07frc |

f07gbc | 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 |

f07gfc | Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage |

f07ggc | Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage |

f07gpc | 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 |

f07gtc | Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage |

f07guc | Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07grc, packed storage |

f07hbc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations |

f07hfc | Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number |

f07hgc | Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdc |

f07hpc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations |

f07htc | Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number |

f07huc | Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hrc |

f07jbc | 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 |

f07jgc | Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jdc |

f07jpc | 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 |

f07juc | Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by f07jrc |

f07mgc | Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdc |

f07muc | Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mrc |

f07nuc | Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrc |

f07pgc | Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage |

f07puc | Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07prc, packed storage |

f07quc | Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrc, packed storage |

f07tgc | Estimate condition number of real triangular matrix |

f07tuc | Estimate condition number of complex triangular matrix |

f07ugc | Estimate condition number of real triangular matrix, packed storage |

f07uuc | Estimate condition number of complex triangular matrix, packed storage |

f07vgc | Estimate condition number of real band triangular matrix |

f07vuc | Estimate condition number of complex band triangular matrix |

f08flc | 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 |

f08npc | 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 |

f08pbc | 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 |

f08ppc | 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 |

f08wpc | 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 |

f08xbc | 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 |

f08xpc | 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 |

f08ygc | 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 |

f08ylc | Estimates reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a real matrix pair in generalized real Schur canonical form |

f08yuc | 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 |

f08yyc | Estimates reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a complex matrix pair in generalized Schur canonical form |

f11mgc | Estimate condition number of real matrix, matrix already factorized by f11mec |

© The Numerical Algorithms Group Ltd, Oxford UK. 2012