TESTING/EIG/zsgt01.f(3)    Library Functions Manual    TESTING/EIG/zsgt01.f(3)

NAME
       TESTING/EIG/zsgt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine zsgt01 (itype, uplo, n, m, a, lda, b, ldb, z, ldz, d, work,
           rwork, result)
           ZSGT01

Function/Subroutine Documentation
   subroutine zsgt01 (integer itype, character uplo, integer n, integer m,
       complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
       ldb, * ) b, integer ldb, complex*16, dimension( ldz, * ) z, integer
       ldz, double precision, dimension( * ) d, complex*16, dimension( * )
       work, double precision, dimension( * ) rwork, double precision,
       dimension( * ) result)
       ZSGT01

       Purpose:


           !>
           !> CDGT01 checks a decomposition of the form
           !>
           !>    A Z   =  B Z D or
           !>    A B Z =  Z D or
           !>    B A Z =  Z D
           !>
           !> where A is a Hermitian matrix, B is Hermitian positive definite,
           !> Z is unitary, and D is diagonal.
           !>
           !> One of the following test ratios is computed:
           !>
           !> ITYPE = 1:  RESULT(1) = | A Z - B Z D | / ( |A| |Z| n ulp )
           !>
           !> ITYPE = 2:  RESULT(1) = | A B Z - Z D | / ( |A| |Z| n ulp )
           !>
           !> ITYPE = 3:  RESULT(1) = | B A Z - Z D | / ( |A| |Z| n ulp )
           !>

       Parameters
           ITYPE

           !>          ITYPE is INTEGER
           !>          The form of the Hermitian generalized eigenproblem.
           !>          = 1:  A*z = (lambda)*B*z
           !>          = 2:  A*B*z = (lambda)*z
           !>          = 3:  B*A*z = (lambda)*z
           !>

           UPLO

           !>          UPLO is CHARACTER*1
           !>          Specifies whether the upper or lower triangular part of the
           !>          Hermitian matrices A and B is stored.
           !>          = 'U':  Upper triangular
           !>          = 'L':  Lower triangular
           !>

           N

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

           M

           !>          M is INTEGER
           !>          The number of eigenvalues found.  M >= 0.
           !>

           A

           !>          A is COMPLEX*16 array, dimension (LDA, N)
           !>          The original Hermitian matrix A.
           !>

           LDA

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

           B

           !>          B is COMPLEX*16 array, dimension (LDB, N)
           !>          The original Hermitian positive definite matrix B.
           !>

           LDB

           !>          LDB is INTEGER
           !>          The leading dimension of the array B.  LDB >= max(1,N).
           !>

           Z

           !>          Z is COMPLEX*16 array, dimension (LDZ, M)
           !>          The computed eigenvectors of the generalized eigenproblem.
           !>

           LDZ

           !>          LDZ is INTEGER
           !>          The leading dimension of the array Z.  LDZ >= max(1,N).
           !>

           D

           !>          D is DOUBLE PRECISION array, dimension (M)
           !>          The computed eigenvalues of the generalized eigenproblem.
           !>

           WORK

           !>          WORK is COMPLEX*16 array, dimension (N*N)
           !>

           RWORK

           !>          RWORK is DOUBLE PRECISION array, dimension (N)
           !>

           RESULT

           !>          RESULT is DOUBLE PRECISION array, dimension (1)
           !>          The test ratio as described above.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 150 of file zsgt01.f.

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

LAPACK                          Version 3.12.0         TESTING/EIG/zsgt01.f(3)