zqpt01.f - Man Page

TESTING/LIN/zqpt01.f

Synopsis

Functions/Subroutines

double precision function zqpt01 (m, n, k, a, af, lda, tau, jpvt, work, lwork)
ZQPT01

Function/Subroutine Documentation

double precision function zqpt01 (integer m, integer n, integer k, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, integer lda, complex*16, dimension( * ) tau, integer, dimension( * ) jpvt, complex*16, dimension( lwork ) work, integer lwork)

ZQPT01

Purpose:

 ZQPT01 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) )
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*16 array, dimension (LDA, N)
          The original matrix A.

AF

          AF is COMPLEX*16 array, dimension (LDA,N)
          The (possibly partial) output of ZGEQPF.  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*16 array, dimension (K)
          Details of the Householder transformations as returned by
          ZGEQPF.

JPVT

          JPVT is INTEGER array, dimension (N)
          Pivot information as returned by ZGEQPF.

WORK

          WORK is COMPLEX*16 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 118 of file zqpt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page zqpt01(3) is an alias of zqpt01.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK