chpev man page on OpenIndiana

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chpev(3P)		    Sun Performance Library		     chpev(3P)

NAME
       chpev  - compute all the eigenvalues and, optionally, eigenvectors of a
       complex Hermitian matrix in packed storage

SYNOPSIS
       SUBROUTINE CHPEV(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO)

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

       SUBROUTINE CHPEV_64(JOBZ, UPLO, N, A, W, Z, LDZ, WORK, WORK2, INFO)

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

   F95 INTERFACE
       SUBROUTINE HPEV(JOBZ, UPLO, [N], A, W, Z, [LDZ], [WORK], [WORK2],
	      [INFO])

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

       SUBROUTINE HPEV_64(JOBZ, UPLO, [N], A, W, Z, [LDZ], [WORK], [WORK2],
	      [INFO])

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

   C INTERFACE
       #include <sunperf.h>

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

       void  chpev_64(char jobz, char uplo, long n, complex *a, float *w, com‐
		 plex *z, long ldz, long *info);

PURPOSE
       chpev 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 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) REAL array, dimension (N)
		 If INFO = 0, the eigenvalues in ascending order.

       Z (output) COMPLEX 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 array, dimension(MAX(1,2*N-1))

       WORK2 (workspace)
		 REAL 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.

				  6 Mar 2009			     chpev(3P)
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