TESTING/EIG/csgt01.f(3)    Library Functions Manual    TESTING/EIG/csgt01.f(3)

NAME
       TESTING/EIG/csgt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine csgt01 (itype, uplo, n, m, a, lda, b, ldb, z, ldz, d, work,
           rwork, result)
           CSGT01

Function/Subroutine Documentation
   subroutine csgt01 (integer itype, character uplo, integer n, integer m,
       complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, *
       ) b, integer ldb, complex, dimension( ldz, * ) z, integer ldz, real,
       dimension( * ) d, complex, dimension( * ) work, real, dimension( * )
       rwork, real, dimension( * ) result)
       CSGT01

       Purpose:


            CSGT01 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 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 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 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 REAL array, dimension (M)
                     The computed eigenvalues of the generalized eigenproblem.

           WORK

                     WORK is COMPLEX array, dimension (N*N)

           RWORK

                     RWORK is REAL array, dimension (N)

           RESULT

                     RESULT is REAL 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 csgt01.f.

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

LAPACK                          Version 3.12.0         TESTING/EIG/csgt01.f(3)