zhpev - compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage
SUBROUTINE ZHPEV(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(*), Z(LDZ,*), WORK(*) INTEGER N, LDZ, INFO DOUBLE PRECISION W(*), WORK2(*) SUBROUTINE ZHPEV_64(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(*), Z(LDZ,*), WORK(*) INTEGER*8 N, LDZ, INFO DOUBLE PRECISION W(*), WORK2(*) F95 INTERFACE SUBROUTINE HPEV(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: A, WORK COMPLEX(8), DIMENSION(:,:) :: Z INTEGER :: N, LDZ, INFO REAL(8), DIMENSION(:) :: W, WORK2 SUBROUTINE HPEV_64(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: A, WORK COMPLEX(8), DIMENSION(:,:) :: Z INTEGER(8) :: N, LDZ, INFO REAL(8), DIMENSION(:) :: W, WORK2 C INTERFACE #include <sunperf.h> void zhpev(char jobz, char uplo, int n, doublecomplex *a, double *w, doublecomplex *z, int ldz, int *info); void zhpev_64(char jobz, char uplo, long n, doublecomplex *a, double *w, doublecomplex *z, long ldz, long *info);
Oracle Solaris Studio Performance Library zhpev(3P) NAME zhpev - compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage SYNOPSIS SUBROUTINE ZHPEV(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(*), Z(LDZ,*), WORK(*) INTEGER N, LDZ, INFO DOUBLE PRECISION W(*), WORK2(*) SUBROUTINE ZHPEV_64(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER*1 JOBZ, UPLO DOUBLE COMPLEX A(*), Z(LDZ,*), WORK(*) INTEGER*8 N, LDZ, INFO DOUBLE PRECISION W(*), WORK2(*) F95 INTERFACE SUBROUTINE HPEV(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: A, WORK COMPLEX(8), DIMENSION(:,:) :: Z INTEGER :: N, LDZ, INFO REAL(8), DIMENSION(:) :: W, WORK2 SUBROUTINE HPEV_64(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO) CHARACTER(LEN=1) :: JOBZ, UPLO COMPLEX(8), DIMENSION(:) :: A, WORK COMPLEX(8), DIMENSION(:,:) :: Z INTEGER(8) :: N, LDZ, INFO REAL(8), DIMENSION(:) :: W, WORK2 C INTERFACE #include <sunperf.h> void zhpev(char jobz, char uplo, int n, doublecomplex *a, double *w, doublecomplex *z, int ldz, int *info); void zhpev_64(char jobz, char uplo, long n, doublecomplex *a, double *w, doublecomplex *z, long ldz, long *info); PURPOSE zhpev computes all the eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage. 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) COMPLEX*16 array, dimension (N*(N+1)/2) On entry, the upper or lower triangle of the Hermitian matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array A as follows: if UPLO = 'U', A(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', A(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n. On exit, A is overwritten by values generated during the reduction to tridiagonal form. If UPLO = 'U', the diagonal and first superdiagonal of the tridiagonal matrix T overwrite the corresponding elements of A, and if UPLO = 'L', the diag- onal and first subdiagonal of T overwrite the corresponding elements of A. W (output) DOUBLE PRECISION array, dimension (N) If INFO = 0, the eigenvalues in ascending order. Z (output) COMPLEX*16 array, dimension (LDZ, N) 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) COMPLEX*16 array, dimension(MAX(1,2*N-1)) WORK2 (workspace) DOUBLE PRECISION array, 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 zhpev(3P)