TESTING/LIN/dqrt11.f(3)    Library Functions Manual    TESTING/LIN/dqrt11.f(3)

NAME
       TESTING/LIN/dqrt11.f

SYNOPSIS
   Functions/Subroutines
       double precision function dqrt11 (m, k, a, lda, tau, work, lwork)
           DQRT11

Function/Subroutine Documentation
   double precision function dqrt11 (integer m, integer k, double precision,
       dimension( lda, * ) a, integer lda, double precision, dimension( * )
       tau, double precision, dimension( lwork ) work, integer lwork)
       DQRT11

       Purpose:


            DQRT11 computes the test ratio

                  || Q'*Q - I || / (eps * m)

            where the orthogonal matrix Q is represented as a product of
            elementary transformations.  Each transformation has the form

               H(k) = I - tau(k) v(k) v(k)'

            where tau(k) is stored in TAU(k) and v(k) is an m-vector of the form
            [ 0 ... 0 1 x(k) ]', where x(k) is a vector of length m-k stored
            in A(k+1:m,k).

       Parameters
           M

                     M is INTEGER
                     The number of rows of the matrix A.

           K

                     K is INTEGER
                     The number of columns of A whose subdiagonal entries
                     contain information about orthogonal transformations.

           A

                     A is DOUBLE PRECISION array, dimension (LDA,K)
                     The (possibly partial) output of a QR reduction routine.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.

           TAU

                     TAU is DOUBLE PRECISION array, dimension (K)
                     The scaling factors tau for the elementary transformations as
                     computed by the QR factorization routine.

           WORK

                     WORK is DOUBLE PRECISION array, dimension (LWORK)

           LWORK

                     LWORK is INTEGER
                     The length of the array WORK.  LWORK >= M*M + M.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 97 of file dqrt11.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/dqrt11.f(3)