zheev (l)  Linux Man Pages
zheev: computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
Command to display zheev
manual in Linux: $ man l zheev
NAME
ZHEEV  computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
SYNOPSIS
 SUBROUTINE ZHEEV(

JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK,
INFO )

CHARACTER
JOBZ, UPLO

INTEGER
INFO, LDA, LWORK, N

DOUBLE
PRECISION RWORK( * ), W( * )

COMPLEX*16
A( LDA, * ), WORK( * )
PURPOSE
ZHEEV computes all eigenvalues and, optionally, eigenvectors of a
complex Hermitian matrix A.
ARGUMENTS
 JOBZ (input) CHARACTER*1

= aqNaq: Compute eigenvalues only;
= aqVaq: Compute eigenvalues and eigenvectors.
 UPLO (input) CHARACTER*1

= aqUaq: Upper triangle of A is stored;
= aqLaq: Lower triangle of A is stored.
 N (input) INTEGER

The order of the matrix A. N >= 0.
 A (input/output) COMPLEX*16 array, dimension (LDA, N)

On entry, the Hermitian matrix A. If UPLO = aqUaq, the
leading NbyN upper triangular part of A contains the
upper triangular part of the matrix A. If UPLO = aqLaq,
the leading NbyN lower triangular part of A contains
the lower triangular part of the matrix A.
On exit, if JOBZ = aqVaq, then if INFO = 0, A contains the
orthonormal eigenvectors of the matrix A.
If JOBZ = aqNaq, then on exit the lower triangle (if UPLO=aqLaq)
or the upper triangle (if UPLO=aqUaq) of A, including the
diagonal, is destroyed.
 LDA (input) INTEGER

The leading dimension of the array A. LDA >= max(1,N).
 W (output) DOUBLE PRECISION array, dimension (N)

If INFO = 0, the eigenvalues in ascending order.
 WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))

On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
 LWORK (input) INTEGER

The length of the array WORK. LWORK >= max(1,2*N1).
For optimal efficiency, LWORK >= (NB+1)*N,
where NB is the blocksize for ZHETRD returned by ILAENV.
If LWORK = 1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
 RWORK (workspace) DOUBLE PRECISION array, dimension (max(1, 3*N2))

 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
> 0: if INFO = i, the algorithm failed to converge; i
offdiagonal elements of an intermediate tridiagonal
form did not converge to zero.
Pages related to zheev
 zheev (3)
 zheevd (l)  computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
 zheevr (l)  computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
 zheevx (l)  computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
 zheequb (l)  computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number (with respect to the twonorm)
 zhecon (l)  estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
 zhegs2 (l)  reduces a complex Hermitiandefinite generalized eigenproblem to standard form
 zhegst (l)  reduces a complex Hermitiandefinite generalized eigenproblem to standard form
 zhegv (l)  computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitiandefinite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x