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
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