TESTING/LIN/sqrt01.f(3)    Library Functions Manual    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
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/sqrt01.f(3)