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

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