TESTING/LIN/sqrt11.f(3)    Library Functions Manual    TESTING/LIN/sqrt11.f(3)

NAME
       TESTING/LIN/sqrt11.f

SYNOPSIS
   Functions/Subroutines
       real function sqrt11 (m, k, a, lda, tau, work, lwork)
           SQRT11

Function/Subroutine Documentation
   real function sqrt11 (integer m, integer k, real, dimension( lda, * ) a,
       integer lda, real, dimension( * ) tau, real, dimension( lwork ) work,
       integer lwork)
       SQRT11

       Purpose:


            SQRT11 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 REAL 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 REAL array, dimension (K)
                     The scaling factors tau for the elementary transformations as
                     computed by the QR factorization routine.

           WORK

                     WORK is REAL 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 sqrt11.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/sqrt11.f(3)