zheev - plex Hermitian matrix A
SUBROUTINE ZHEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, LDWORK, INFO DOUBLE PRECISION W(*), WORK2(*) SUBROUTINE ZHEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, LDWORK, INFO DOUBLE PRECISION W(*), WORK2(*) F95 INTERFACE SUBROUTINE HEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, LDWORK, INFO REAL(8), DIMENSION(:) :: W, WORK2 SUBROUTINE HEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, LDWORK, INFO REAL(8), DIMENSION(:) :: W, WORK2 C INTERFACE #include <sunperf.h> void zheev(char jobz, char uplo, int n, doublecomplex *a, int lda, dou- ble *w, int *info); void zheev_64(char jobz, char uplo, long n, doublecomplex *a, long lda, double *w, long *info);
Oracle Solaris Studio Performance Library zheev(3P) NAME zheev - compute all eigenvalues and, optionally, eigenvectors of a com- plex Hermitian matrix A SYNOPSIS SUBROUTINE ZHEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, LDWORK, INFO DOUBLE PRECISION W(*), WORK2(*) SUBROUTINE ZHEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, LDWORK, INFO DOUBLE PRECISION W(*), WORK2(*) F95 INTERFACE SUBROUTINE HEEV(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, LDWORK, INFO REAL(8), DIMENSION(:) :: W, WORK2 SUBROUTINE HEEV_64(JOBZ, UPLO, N, A, LDA, W, WORK, LDWORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, LDWORK, INFO REAL(8), DIMENSION(:) :: W, WORK2 C INTERFACE #include <sunperf.h> void zheev(char jobz, char uplo, int n, doublecomplex *a, int lda, dou- ble *w, int *info); void zheev_64(char jobz, char uplo, long n, doublecomplex *a, long lda, double *w, long *info); PURPOSE zheev 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 ZHETRD 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 zheev(3P)