cheev (3p)

Name

cheev - plex Hermitian matrix A

Synopsis

SUBROUTINE CHEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO)

CHARACTER*1 JOBZ, UPLO
COMPLEX A(LDA,*), WORK(*)
INTEGER N, LDA, LDWORK, INFO
REAL W(*), WORK2(*)

SUBROUTINE CHEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2,
INFO)

CHARACTER*1 JOBZ, UPLO
COMPLEX A(LDA,*), WORK(*)
INTEGER*8 N, LDA, LDWORK, INFO
REAL W(*), WORK2(*)




F95 INTERFACE
SUBROUTINE HEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK,
WORK2, INFO)

CHARACTER(LEN=1) :: JOBZ, UPLO
COMPLEX, DIMENSION(:) :: WORK
COMPLEX, DIMENSION(:,:) :: A
INTEGER :: N, LDA, LDWORK, INFO
REAL, DIMENSION(:) :: W, WORK2

SUBROUTINE HEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK,
WORK2, INFO)

CHARACTER(LEN=1) :: JOBZ, UPLO
COMPLEX, DIMENSION(:) :: WORK
COMPLEX, DIMENSION(:,:) :: A
INTEGER(8) :: N, LDA, LDWORK, INFO
REAL, DIMENSION(:) :: W, WORK2




C INTERFACE
#include <sunperf.h>

void cheev(char jobz, char uplo, int n, complex *a, int lda, float  *w,
int *info);

void cheev_64(char jobz, char uplo, long n, complex *a, long lda, float
*w, long *info);

Description

Oracle Solaris Studio Performance Library                            cheev(3P)



NAME
       cheev - compute all eigenvalues and, optionally, eigenvectors of a com-
       plex Hermitian matrix A


SYNOPSIS
       SUBROUTINE CHEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO)

       CHARACTER*1 JOBZ, UPLO
       COMPLEX A(LDA,*), WORK(*)
       INTEGER N, LDA, LDWORK, INFO
       REAL W(*), WORK2(*)

       SUBROUTINE CHEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2,
             INFO)

       CHARACTER*1 JOBZ, UPLO
       COMPLEX A(LDA,*), WORK(*)
       INTEGER*8 N, LDA, LDWORK, INFO
       REAL W(*), WORK2(*)




   F95 INTERFACE
       SUBROUTINE HEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK,
              WORK2, INFO)

       CHARACTER(LEN=1) :: JOBZ, UPLO
       COMPLEX, DIMENSION(:) :: WORK
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER :: N, LDA, LDWORK, INFO
       REAL, DIMENSION(:) :: W, WORK2

       SUBROUTINE HEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK,
              WORK2, INFO)

       CHARACTER(LEN=1) :: JOBZ, UPLO
       COMPLEX, DIMENSION(:) :: WORK
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER(8) :: N, LDA, LDWORK, INFO
       REAL, DIMENSION(:) :: W, WORK2




   C INTERFACE
       #include <sunperf.h>

       void cheev(char jobz, char uplo, int n, complex *a, int lda, float  *w,
                 int *info);

       void cheev_64(char jobz, char uplo, long n, complex *a, long lda, float
                 *w, long *info);



PURPOSE
       cheev computes all eigenvalues and, optionally, eigenvectors of a  com-
       plex Hermitian matrix A.


ARGUMENTS
       JOBZ (input)
                 = 'N':  Compute eigenvalues only;
                 = 'V':  Compute eigenvalues and eigenvectors.


       UPLO (input)
                 = 'U':  Upper triangle of A is stored;
                 = 'L':  Lower triangle of A is stored.


       N (input) The order of the matrix A.  N >= 0.


       A (input/output)
                 On entry, the Hermitian matrix A.  If UPLO = 'U', the leading
                 N-by-N upper triangular part of A contains the upper triangu-
                 lar  part of the matrix A.  If UPLO = 'L', the leading N-by-N
                 lower triangular part of A contains the lower triangular part
                 of the matrix A.  On exit, if JOBZ = 'V', then if INFO = 0, A
                 contains the orthonormal eigenvectors of the  matrix  A.   If
                 JOBZ  = 'N', then on exit the lower triangle (if UPLO='L') or
                 the upper triangle (if UPLO='U') of A, including  the  diago-
                 nal, is destroyed.


       LDA (input)
                 The leading dimension of the array A.  LDA >= max(1,N).


       W (output)
                 If INFO = 0, the eigenvalues in ascending order.


       WORK (workspace)
                 On exit, if INFO = 0, WORK(1) returns the optimal LDWORK.


       LDWORK (input)
                 The  length  of the array WORK.  LDWORK >= max(1,2*N-1).  For
                 optimal efficiency, LDWORK  >=  (NB+1)*N,  where  NB  is  the
                 blocksize for CHETRD returned by ILAENV.

                 If  LDWORK  = -1, then a workspace query is assumed; the rou-
                 tine 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 LDWORK is issued by XERBLA.


       WORK2 (workspace)
                 dimension(max(1,3*N-2))


       INFO (output)
                 = 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.




                                  7 Nov 2015                         cheev(3P)