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.