chbev (3p)

Name

chbev - compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix A

Synopsis

SUBROUTINE CHBEV(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
WORK2, INFO)

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

SUBROUTINE CHBEV_64(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
WORK2, INFO)

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




F95 INTERFACE
SUBROUTINE HBEV(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
WORK2, INFO)

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

SUBROUTINE HBEV_64(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ,
WORK, WORK2, INFO)

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




C INTERFACE
#include <sunperf.h>

void chbev(char jobz, char uplo, int n, int kd, complex  *a,  int  lda,
float *w, complex *z, int ldz, int *info);

void  chbev_64(char  jobz, char uplo, long n, long kd, complex *a, long
lda, float *w, complex *z, long ldz, long *info);

Description

Oracle Solaris Studio Performance Library                            chbev(3P)



NAME
       chbev  - compute all the eigenvalues and, optionally, eigenvectors of a
       complex Hermitian band matrix A


SYNOPSIS
       SUBROUTINE CHBEV(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
             WORK2, INFO)

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

       SUBROUTINE CHBEV_64(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
             WORK2, INFO)

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




   F95 INTERFACE
       SUBROUTINE HBEV(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
              WORK2, INFO)

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

       SUBROUTINE HBEV_64(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ,
              WORK, WORK2, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void chbev(char jobz, char uplo, int n, int kd, complex  *a,  int  lda,
                 float *w, complex *z, int ldz, int *info);

       void  chbev_64(char  jobz, char uplo, long n, long kd, complex *a, long
                 lda, float *w, complex *z, long ldz, long *info);



PURPOSE
       chbev computes all the eigenvalues and, optionally, eigenvectors  of  a
       complex Hermitian band 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.


       KD (input)
                 The  number  of superdiagonals of the matrix A if UPLO = 'U',
                 or the number of subdiagonals if UPLO = 'L'.  KD >= 0.


       A (input/output)
                 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 A as
                 follows:  if  UPLO = 'U', A(kd+1+i-j,j) = A(i,j) for max(1,j-
                 kd)<=i<=j;  if  UPLO  =  'L',  A(1+i-j,j)     =  A(i,j)   for
                 j<=i<=min(n,j+kd).

                 On  exit,  A  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 A, and if UPLO = 'L', the
                 diagonal and first subdiagonal of T are returned in the first
                 two rows of A.


       LDA (input)
                 The leading dimension of the array A.  LDA >= KD + 1.


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


       Z (output)
                 If JOBZ = 'V', then if INFO = 0, Z contains  the  orthonormal
                 eigenvectors of the matrix A, with the i-th column of Z hold-
                 ing the eigenvector associated with W(i).   If  JOBZ  =  'N',
                 then Z is not referenced.


       LDZ (input)
                 The  leading dimension of the array Z.  LDZ >= 1, and if JOBZ
                 = 'V', LDZ >= max(1,N).


       WORK (workspace)
                 dimension(N)

       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                         chbev(3P)