TESTING/LIN/srqt02.f(3)    Library Functions Manual    TESTING/LIN/srqt02.f(3)

NAME
       TESTING/LIN/srqt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine srqt02 (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           SRQT02

Function/Subroutine Documentation
   subroutine srqt02 (integer m, integer n, integer k, 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)
       SRQT02

       Purpose:


            SRQT02 tests SORGRQ, which generates an m-by-n matrix Q with
            orthonormal rows that is defined as the product of k elementary
            reflectors.

            Given the RQ factorization of an m-by-n matrix A, SRQT02 generates
            the orthogonal matrix Q defined by the factorization of the last k
            rows of A; it compares R(m-k+1:m,n-m+1:n) with
            A(m-k+1:m,1:n)*Q(n-m+1:n,1:n)', and checks that the rows of Q are
            orthonormal.

       Parameters
           M

                     M is INTEGER
                     The number of rows of the matrix Q to be generated.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix Q to be generated.
                     N >= M >= 0.

           K

                     K is INTEGER
                     The number of elementary reflectors whose product defines the
                     matrix Q. M >= K >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                     The m-by-n matrix A which was factorized by SRQT01.

           AF

                     AF is REAL array, dimension (LDA,N)
                     Details of the RQ factorization of A, as returned by SGERQF.
                     See SGERQF for further details.

           Q

                     Q is REAL array, dimension (LDA,N)

           R

                     R is REAL array, dimension (LDA,M)

           LDA

                     LDA is INTEGER
                     The leading dimension of the arrays A, AF, Q and L. LDA >= N.

           TAU

                     TAU is REAL array, dimension (M)
                     The scalar factors of the elementary reflectors corresponding
                     to the RQ factorization in AF.

           WORK

                     WORK is REAL array, dimension (LWORK)

           LWORK

                     LWORK is INTEGER
                     The dimension of the array WORK.

           RWORK

                     RWORK is REAL array, dimension (M)

           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 134 of file srqt02.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/srqt02.f(3)