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

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