table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zhbev.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zhbev.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zhbev.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZHBEV (jobz, uplo, n, kd, ab, ldab, w, z, ldz,
work, rwork, info)
ZHBEV computes the eigenvalues and, optionally, the left and/or right
eigenvectors for OTHER matrices
Function/Subroutine Documentation¶
subroutine ZHBEV (character jobz, character uplo, integer n, integer kd, complex*16, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) w, complex*16, dimension( ldz, * ) z, integer ldz, complex*16, dimension( * ) work, double precision, dimension( * ) rwork, integer info)¶
ZHBEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices
Purpose:
!> !> ZHBEV computes all the eigenvalues and, optionally, eigenvectors of !> a complex Hermitian band matrix A. !>
Parameters
JOBZ
!> JOBZ is CHARACTER*1 !> = 'N': Compute eigenvalues only; !> = 'V': Compute eigenvalues and eigenvectors. !>
UPLO
!> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
KD
!> KD is INTEGER !> The number of superdiagonals of the matrix A if UPLO = 'U', !> or the number of subdiagonals if UPLO = 'L'. KD >= 0. !>
AB
!> AB is COMPLEX*16 array, dimension (LDAB, N) !> On entry, the upper or lower triangle of the Hermitian band !> matrix A, stored in the first KD+1 rows of the array. The !> j-th column of A is stored in the j-th column of the array AB !> as follows: !> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; !> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). !> !> On exit, AB is overwritten by values generated during the !> reduction to tridiagonal form. If UPLO = 'U', the first !> superdiagonal and the diagonal of the tridiagonal matrix T !> are returned in rows KD and KD+1 of AB, and if UPLO = 'L', !> the diagonal and first subdiagonal of T are returned in the !> first two rows of AB. !>
LDAB
!> LDAB is INTEGER !> The leading dimension of the array AB. LDAB >= KD + 1. !>
W
!> W is DOUBLE PRECISION array, dimension (N) !> If INFO = 0, the eigenvalues in ascending order. !>
Z
!> Z is COMPLEX*16 array, dimension (LDZ, N) !> If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal !> eigenvectors of the matrix A, with the i-th column of Z !> holding the eigenvector associated with W(i). !> If JOBZ = 'N', then Z is not referenced. !>
LDZ
!> LDZ is INTEGER !> The leading dimension of the array Z. LDZ >= 1, and if !> JOBZ = 'V', LDZ >= max(1,N). !>
WORK
!> WORK is COMPLEX*16 array, dimension (N) !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (max(1,3*N-2)) !>
INFO
!> INFO is INTEGER !> = 0: successful exit. !> < 0: if INFO = -i, the i-th argument had an illegal value. !> > 0: if INFO = i, the algorithm failed to converge; i !> off-diagonal elements of an intermediate tridiagonal !> form did not converge to zero. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 150 of file zhbev.f.
Author¶
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Version 3.12.0 | LAPACK |