zhbev (3p)

Name

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

Synopsis

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

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

SUBROUTINE ZHBEV_64(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
WORK2, INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

void zhbev(char jobz, char uplo, int n, int kd, doublecomplex  *a,  int
lda, double *w, doublecomplex *z, int ldz, int *info);

void  zhbev_64(char jobz, char uplo, long n, long kd, doublecomplex *a,
long lda, double *w, doublecomplex *z, long ldz, long *info);

Description

Oracle Solaris Studio Performance Library                            zhbev(3P)



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


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

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

       SUBROUTINE ZHBEV_64(JOBZ, UPLO, N, KD, A, LDA, W, Z, LDZ, WORK,
             WORK2, INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

       void zhbev(char jobz, char uplo, int n, int kd, doublecomplex  *a,  int
                 lda, double *w, doublecomplex *z, int ldz, int *info);

       void  zhbev_64(char jobz, char uplo, long n, long kd, doublecomplex *a,
                 long lda, double *w, doublecomplex *z, long ldz, long *info);



PURPOSE
       zhbev  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                         zhbev(3P)