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

Generated automatically by Doxygen for LAPACK from the source code.

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