TESTING/EIG/dget54.f(3)

NAME
TESTING/EIG/dget54.f

SYNOPSIS

  Functions/Subroutines
subroutine dget54 (n, a, lda, b, ldb, s, lds, t, ldt, u, ldu, v, ldv, work, result)
DGET54

Function/Subroutine Documentation

  subroutine dget54 (integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( lds, * ) s, integer lds, double precision, dimension( ldt, * ) t, integer ldt, double precision, dimension( ldu, * ) u, integer ldu, double precision, dimension( ldv, * ) v, integer ldv, double precision, dimension( * ) work, double precision result)

DGET54

Purpose:

    !>
    !> DGET54 checks a generalized decomposition of the form
    !>
    !>          A = U*S*V'  and B = U*T* V'
    !>
    !> where ' means transpose and U and V are orthogonal.
    !>
    !> Specifically,
    !>
    !>  RESULT = ||( A - U*S*V', B - U*T*V' )|| / (||( A, B )||*n*ulp )
    !>

Parameters
    N

    !>          N is INTEGER
    !>          The size of the matrix.  If it is zero, DGET54 does nothing.
    !>          It must be at least zero.
    !>

    A

    !>          A is DOUBLE PRECISION array, dimension (LDA, N)
    !>          The original (unfactored) matrix A.
    !>

    LDA

    !>          LDA is INTEGER
    !>          The leading dimension of A.  It must be at least 1
    !>          and at least N.
    !>

    B

    !>          B is DOUBLE PRECISION array, dimension (LDB, N)
    !>          The original (unfactored) matrix B.
    !>

    LDB

    !>          LDB is INTEGER
    !>          The leading dimension of B.  It must be at least 1
    !>          and at least N.
    !>

    S

    !>          S is DOUBLE PRECISION array, dimension (LDS, N)
    !>          The factored matrix S.
    !>

    LDS

    !>          LDS is INTEGER
    !>          The leading dimension of S.  It must be at least 1
    !>          and at least N.
    !>

    T

    !>          T is DOUBLE PRECISION array, dimension (LDT, N)
    !>          The factored matrix T.
    !>

    LDT

    !>          LDT is INTEGER
    !>          The leading dimension of T.  It must be at least 1
    !>          and at least N.
    !>

    U

    !>          U is DOUBLE PRECISION array, dimension (LDU, N)
    !>          The orthogonal matrix on the left-hand side in the
    !>          decomposition.
    !>

    LDU

    !>          LDU is INTEGER
    !>          The leading dimension of U.  LDU must be at least N and
    !>          at least 1.
    !>

    V

    !>          V is DOUBLE PRECISION array, dimension (LDV, N)
    !>          The orthogonal matrix on the left-hand side in the
    !>          decomposition.
    !>

    LDV

    !>          LDV is INTEGER
    !>          The leading dimension of V.  LDV must be at least N and
    !>          at least 1.
    !>

    WORK

    !>          WORK is DOUBLE PRECISION array, dimension (3*N**2)
    !>

    RESULT

    !>          RESULT is DOUBLE PRECISION
    !>          The value RESULT, It is currently limited to 1/ulp, to
    !>          avoid overflow. Errors are flagged by RESULT=10/ulp.
    !>

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 154 of file dget54.f.

Author

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