cqpt01.f - Man Page
TESTING/LIN/cqpt01.f
Synopsis
Functions/Subroutines
real function cqpt01 (m, n, k, a, af, lda, tau, jpvt, work, lwork)
CQPT01
Function/Subroutine Documentation
real function cqpt01 (integer m, integer n, integer k, complex, dimension( lda, * ) a, complex, dimension( lda, * ) af, integer lda, complex, dimension( * ) tau, integer, dimension( * ) jpvt, complex, dimension( lwork ) work, integer lwork)
CQPT01
Purpose:
CQPT01 tests the QR-factorization with pivoting of a matrix A. The array AF contains the (possibly partial) QR-factorization of A, where the upper triangle of AF(1:k,1:k) is a partial triangular factor, the entries below the diagonal in the first k columns are the Householder vectors, and the rest of AF contains a partially updated matrix. This function returns ||A*P - Q*R|| / ( ||norm(A)||*eps*max(M,N) ) where || . || is matrix one norm.
- Parameters
M
M is INTEGER The number of rows of the matrices A and AF.
N
N is INTEGER The number of columns of the matrices A and AF.
K
K is INTEGER The number of columns of AF that have been reduced to upper triangular form.
A
A is COMPLEX array, dimension (LDA, N) The original matrix A.
AF
AF is COMPLEX array, dimension (LDA,N) The (possibly partial) output of CGEQPF. The upper triangle of AF(1:k,1:k) is a partial triangular factor, the entries below the diagonal in the first k columns are the Householder vectors, and the rest of AF contains a partially updated matrix.
LDA
LDA is INTEGER The leading dimension of the arrays A and AF.
TAU
TAU is COMPLEX array, dimension (K) Details of the Householder transformations as returned by CGEQPF.
JPVT
JPVT is INTEGER array, dimension (N) Pivot information as returned by CGEQPF.
WORK
WORK is COMPLEX array, dimension (LWORK)
LWORK
LWORK is INTEGER The length of the array WORK. LWORK >= M*N+N.
- Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 119 of file cqpt01.f.
Author
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Referenced By
The man page cqpt01(3) is an alias of cqpt01.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK