1. Manuals
  2. Tumbleweed
  3. lapack-man
  4. SRQT01(3)

Scroll to navigation

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt01.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt01.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt01.f

SYNOPSIS

Functions/Subroutines


subroutine SRQT01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SRQT01

Function/Subroutine Documentation

subroutine SRQT01 (integer m, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SRQT01

Purpose:

!>
!> SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n
!> matrix A, and partially tests SORGRQ which forms the n-by-n
!> orthogonal matrix Q.
!>
!> SRQT01 compares R with A*Q', and checks that Q is orthogonal.
!>

Parameters

M 

!>          M is INTEGER
!>          The number of rows of the matrix A.  M >= 0.
!>

N

!>          N is INTEGER
!>          The number of columns of the matrix A.  N >= 0.
!>

A

!>          A is REAL array, dimension (LDA,N)
!>          The m-by-n matrix A.
!>

AF

!>          AF is REAL array, dimension (LDA,N)
!>          Details of the RQ factorization of A, as returned by SGERQF.
!>          See SGERQF for further details.
!>

Q

!>          Q is REAL array, dimension (LDA,N)
!>          The n-by-n orthogonal matrix Q.
!>

R

!>          R is REAL array, dimension (LDA,max(M,N))
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the arrays A, AF, Q and L.
!>          LDA >= max(M,N).
!>

TAU

!>          TAU is REAL array, dimension (min(M,N))
!>          The scalar factors of the elementary reflectors, as returned
!>          by SGERQF.
!>

WORK

!>          WORK is REAL array, dimension (LWORK)
!>

LWORK

!>          LWORK is INTEGER
!>          The dimension of the array WORK.
!>

RWORK

!>          RWORK is REAL array, dimension (max(M,N))
!>

RESULT

!>          RESULT is REAL array, dimension (2)
!>          The test ratios:
!>          RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )
!>          RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file srqt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.0 LAPACK