sget54.f - Man Page

subroutine sget54 (n, a, lda, b, ldb, s, lds, t, ldt, u, ldu, v, ldv, work, result)
SGET54

SGET54

Purpose:

 SGET54 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, SGET54 does nothing.
          It must be at least zero.

A

          A is REAL 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 REAL 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 REAL 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 REAL 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 REAL 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 REAL 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 REAL array, dimension (3*N**2)

RESULT

          RESULT is REAL
          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 sget54.f.