SRC/zhpev.f(3)             Library Functions Manual             SRC/zhpev.f(3)

NAME
       SRC/zhpev.f

SYNOPSIS
   Functions/Subroutines
       subroutine zhpev (jobz, uplo, n, ap, w, z, ldz, work, rwork, info)
            ZHPEV computes the eigenvalues and, optionally, the left and/or
           right eigenvectors for OTHER matrices

Function/Subroutine Documentation
   subroutine zhpev (character jobz, character uplo, integer n, complex*16,
       dimension( * ) ap, double precision, dimension( * ) w, complex*16,
       dimension( ldz, * ) z, integer ldz, complex*16, dimension( * ) work,
       double precision, dimension( * ) rwork, integer info)
        ZHPEV computes the eigenvalues and, optionally, the left and/or right
       eigenvectors for OTHER matrices

       Purpose:


            ZHPEV computes all the eigenvalues and, optionally, eigenvectors of a
            complex Hermitian matrix in packed storage.

       Parameters
           JOBZ

                     JOBZ is CHARACTER*1
                     = 'N':  Compute eigenvalues only;
                     = 'V':  Compute eigenvalues and eigenvectors.

           UPLO

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

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           AP

                     AP is 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 AP as follows:
                     if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
                     if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.

                     On exit, AP 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
                     diagonal and first subdiagonal of T overwrite the
                     corresponding elements of A.

           W

                     W is DOUBLE PRECISION array, dimension (N)
                     If INFO = 0, the eigenvalues in ascending order.

           Z

                     Z is 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
                     holding the eigenvector associated with W(i).
                     If JOBZ = 'N', then Z is not referenced.

           LDZ

                     LDZ is INTEGER
                     The leading dimension of the array Z.  LDZ >= 1, and if
                     JOBZ = 'V', LDZ >= max(1,N).

           WORK

                     WORK is COMPLEX*16 array, dimension (max(1, 2*N-1))

           RWORK

                     RWORK is DOUBLE PRECISION array, dimension (max(1, 3*N-2))

           INFO

                     INFO is 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.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 136 of file zhpev.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                  SRC/zhpev.f(3)