NAME

TESTING/LIN/slqt01.f

SYNOPSIS

Functions/Subroutines

subroutine slqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
SLQT01

Function/Subroutine Documentation

subroutine slqt01 (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) l, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SLQT01

Purpose:



 SLQT01 tests SGELQF, which computes the LQ factorization of an m-by-n


 matrix A, and partially tests SORGLQ which forms the n-by-n


 orthogonal matrix Q.


 SLQT01 compares L with A*Q', and checks that Q is orthogonal.

Parameters



          M is INTEGER


          The number of rows of the matrix A.  M >= 0.



          N is INTEGER


          The number of columns of the matrix A.  N >= 0.



          A is REAL array, dimension (LDA,N)


          The m-by-n matrix A.



          AF is REAL array, dimension (LDA,N)


          Details of the LQ factorization of A, as returned by SGELQF.


          See SGELQF for further details.



          Q is REAL array, dimension (LDA,N)


          The n-by-n orthogonal matrix Q.



          L is REAL array, dimension (LDA,max(M,N))

LDA



          LDA is INTEGER


          The leading dimension of the arrays A, AF, Q and L.


          LDA >= max(M,N).

TAU



          TAU is REAL array, dimension (min(M,N))


          The scalar factors of the elementary reflectors, as returned


          by SGELQF.

WORK



          WORK is REAL array, dimension (LWORK)

LWORK



          LWORK is INTEGER


          The dimension of the array WORK.

RWORK



          RWORK is REAL array, dimension (max(M,N))

RESULT



          RESULT is REAL array, dimension (2)


          The test ratios:


          RESULT(1) = norm( L - A*Q' ) / ( N * norm(A) * EPS )


          RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file slqt01.f.

Author

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