NAME

TESTING/LIN/srqt01.f

SYNOPSIS

Functions/Subroutines

subroutine srqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SRQT01

Function/Subroutine Documentation

subroutine srqt01 (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SRQT01

Purpose:



 SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n


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


 orthogonal matrix Q.


 SRQT01 compares R 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 RQ factorization of A, as returned by SGERQF.


          See SGERQF for further details.



          Q is REAL array, dimension (LDA,N)


          The n-by-n orthogonal matrix Q.



          R 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 SGERQF.

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( R - 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 srqt01.f.

Author

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