CHEEV(3)              LAPACK driver routine (version 3.1)             CHEEV(3)



NAME
       CHEEV - all eigenvalues and, optionally, eigenvectors of a complex Her-
       mitian matrix A

SYNOPSIS
       SUBROUTINE CHEEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK, INFO )

           CHARACTER     JOBZ, UPLO

           INTEGER       INFO, LDA, LWORK, N

           REAL          RWORK( * ), W( * )

           COMPLEX       A( LDA, * ), WORK( * )

PURPOSE
       CHEEV computes all eigenvalues and, optionally, eigenvectors of a  com-
       plex Hermitian matrix A.


ARGUMENTS
       JOBZ    (input) CHARACTER*1
               = 'N':  Compute eigenvalues only;
               = 'V':  Compute eigenvalues and eigenvectors.

       UPLO    (input) CHARACTER*1
               = 'U':  Upper triangle of A is stored;
               = 'L':  Lower triangle of A is stored.

       N       (input) INTEGER
               The order of the matrix A.  N >= 0.

       A       (input/output) COMPLEX array, dimension (LDA, N)
               On  entry,  the Hermitian matrix A.  If UPLO = 'U', the leading
               N-by-N upper triangular part of A contains the upper triangular
               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 tri-
               angle (if UPLO='U') of A, including the diagonal, is destroyed.

       LDA     (input) INTEGER
               The leading dimension of the array A.  LDA >= max(1,N).

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

       WORK    (workspace/output) COMPLEX array, dimension (MAX(1,LWORK))
               On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
               The  length  of  the  array  WORK.  LWORK >= max(1,2*N-1).  For
               optimal efficiency, LWORK >= (NB+1)*N, where NB is  the  block-
               size for CHETRD returned by ILAENV.

               If  LWORK  = -1, then a workspace query is assumed; the routine
               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 LWORK is issued by XERBLA.

       RWORK   (workspace) REAL array, dimension (max(1, 3*N-2))

       INFO    (output) INTEGER
               = 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.



 LAPACK driver routine (version 3.N1o)vember 2006                        CHEEV(3)