TESTING/LIN/sqrt01.f(3)

NAME
TESTING/LIN/sqrt01.f

SYNOPSIS

  Functions/Subroutines
subroutine sqrt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SQRT01

Function/Subroutine Documentation

  subroutine sqrt01 (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)

SQRT01

Purpose:

     SQRT01 tests SGEQRF, which computes the QR factorization of an m-by-n
     matrix A, and partially tests SORGQR which forms the m-by-m
     orthogonal matrix Q.
     SQRT01 compares R with Q'*A, 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 QR factorization of A, as returned by SGEQRF.
              See SGEQRF for further details.

    Q

              Q is REAL array, dimension (LDA,M)
              The m-by-m 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 R.
              LDA >= max(M,N).

    TAU

              TAU is REAL array, dimension (min(M,N))
              The scalar factors of the elementary reflectors, as returned
              by SGEQRF.

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

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 124 of file sqrt01.f.

Author

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