TESTING/LIN/srqt01.f(3)    Library Functions Manual    TESTING/LIN/srqt01.f(3)

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

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

           N

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

           A

           !>          A is REAL array, dimension (LDA,N)
           !>          The m-by-n matrix A.
           !>

           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)
           !>          The n-by-n orthogonal matrix Q.
           !>

           R

           !>          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
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/srqt01.f(3)