Program f08fufe ! F08FUF Example Program Text ! Mark 24 Release. NAG Copyright 2012. ! .. Use Statements .. Use nag_library, Only: blas_zamax_val, dstebz, nag_wp, x04dbf, zhetrd, & zstein, zunmtr ! .. Implicit None Statement .. Implicit None ! .. Parameters .. Real (Kind=nag_wp), Parameter :: zero = 0.0E0_nag_wp Integer, Parameter :: nin = 5, nout = 6 ! .. Local Scalars .. Real (Kind=nag_wp) :: r, vl, vu Integer :: i, ifail, info, k, lda, ldc, lwork, & m, n, nsplit Character (1) :: uplo ! .. Local Arrays .. Complex (Kind=nag_wp), Allocatable :: a(:,:), c(:,:), tau(:), work(:) Real (Kind=nag_wp), Allocatable :: d(:), e(:), rwork(:), w(:) Integer, Allocatable :: iblock(:), ifailv(:), isplit(:), & iwork(:) Character (1) :: clabs(1), rlabs(1) ! .. Intrinsic Procedures .. Intrinsic :: abs, cmplx, conjg ! .. Executable Statements .. Write (nout,*) 'F08FUF Example Program Results' ! Skip heading in data file Read (nin,*) Read (nin,*) n lda = n ldc = n lwork = 64*n Allocate (a(lda,n),c(ldc,n),tau(n),work(lwork),d(n),e(n),rwork(5*n), & w(n),iblock(n),ifailv(n),isplit(n),iwork(3*n)) ! Read A from data file Read (nin,*) uplo If (uplo=='U') Then Read (nin,*)(a(i,i:n),i=1,n) Else If (uplo=='L') Then Read (nin,*)(a(i,1:i),i=1,n) End If ! Reduce A to tridiagonal form T = (Q**H)*A*Q ! The NAG name equivalent of zhetrd is f08fsf Call zhetrd(uplo,n,a,lda,d,e,tau,work,lwork,info) ! Calculate the two smallest eigenvalues of T (same as A) ! The NAG name equivalent of dstebz is f08jjf Call dstebz('I','B',n,vl,vu,1,2,zero,d,e,m,nsplit,w,iblock,isplit,rwork, & iwork,info) Write (nout,*) If (info>0) Then Write (nout,*) 'Failure to converge.' Else Write (nout,*) 'Eigenvalues' Write (nout,99999) w(1:m) ! Calculate the eigenvectors of T, storing the result in C ! The NAG name equivalent of zstein is f08jxf Call zstein(n,d,e,m,w,iblock,isplit,c,ldc,rwork,iwork,ifailv,info) If (info>0) Then Write (nout,*) 'Failure to converge.' Else ! Calculate the eigenvectors of A = Q * (eigenvectors of T) ! The NAG name equivalent of zunmtr is f08fuf Call zunmtr('Left',uplo,'No transpose',n,m,a,lda,tau,c,ldc,work, & lwork,info) ! Print eigenvectors Write (nout,*) Flush (nout) ! Normalize the eigenvectors so that the element of largest absolute ! value is real. Do i = 1, m Call blas_zamax_val(n,c(1,i),1,k,r) c(1:n,i) = c(1:n,i)*(conjg(c(k,i))/cmplx(abs(c(k,i)),kind=nag_wp)) End Do ! ifail: behaviour on error exit ! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft ifail = 0 Call x04dbf('General',' ',n,m,c,ldc,'Bracketed','F7.4', & 'Eigenvectors','Integer',rlabs,'Integer',clabs,80,0,ifail) End If End If 99999 Format (8X,4(F7.4,11X:)) End Program f08fufe