TESTING/LIN/zqrt11.f(3)    Library Functions Manual    TESTING/LIN/zqrt11.f(3)

NAME
       TESTING/LIN/zqrt11.f

SYNOPSIS
   Functions/Subroutines
       double precision function zqrt11 (m, k, a, lda, tau, work, lwork)
           ZQRT11

Function/Subroutine Documentation
   double precision function zqrt11 (integer m, integer k, complex*16,
       dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau,
       complex*16, dimension( lwork ) work, integer lwork)
       ZQRT11

       Purpose:


           !>
           !> ZQRT11 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 COMPLEX*16 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 COMPLEX*16 array, dimension (K)
           !>          The scaling factors tau for the elementary transformations as
           !>          computed by the QR factorization routine.
           !>

           WORK

           !>          WORK is COMPLEX*16 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 zqrt11.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/zqrt11.f(3)