table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt03.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt03.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/srqt03.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SRQT03 (m, n, k, af, c, cc, q, lda, tau, work,
lwork, rwork, result)
SRQT03
Function/Subroutine Documentation¶
subroutine SRQT03 (integer m, integer n, integer k, real, dimension( lda, * ) af, real, dimension( lda, * ) c, real, dimension( lda, * ) cc, real, dimension( lda, * ) q, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)¶
SRQT03
Purpose:
!> !> SRQT03 tests SORMRQ, which computes Q*C, Q'*C, C*Q or C*Q'. !> !> SRQT03 compares the results of a call to SORMRQ with the results of !> forming Q explicitly by a call to SORGRQ and then performing matrix !> multiplication by a call to SGEMM. !>
Parameters
M
!> M is INTEGER !> The number of rows or columns of the matrix C; C is n-by-m if !> Q is applied from the left, or m-by-n if Q is applied from !> the right. M >= 0. !>
N
!> N is INTEGER !> The order of the orthogonal matrix Q. N >= 0. !>
K
!> K is INTEGER !> The number of elementary reflectors whose product defines the !> orthogonal matrix Q. N >= K >= 0. !>
AF
!> AF is REAL array, dimension (LDA,N) !> Details of the RQ factorization of an m-by-n matrix, as !> returned by SGERQF. See SGERQF for further details. !>
C
!> C is REAL array, dimension (LDA,N) !>
CC
!> CC is REAL array, dimension (LDA,N) !>
Q
!> Q is REAL array, dimension (LDA,N) !>
LDA
!> LDA is INTEGER !> The leading dimension of the arrays AF, C, CC, and Q. !>
TAU
!> TAU is REAL array, dimension (min(M,N)) !> The scalar factors of the elementary reflectors corresponding !> to the RQ factorization in AF. !>
WORK
!> WORK is REAL array, dimension (LWORK) !>
LWORK
!> LWORK is INTEGER !> The length of WORK. LWORK must be at least M, and should be !> M*NB, where NB is the blocksize for this environment. !>
RWORK
!> RWORK is REAL array, dimension (M) !>
RESULT
!> RESULT is REAL array, dimension (4) !> The test ratios compare two techniques for multiplying a !> random matrix C by an n-by-n orthogonal matrix Q. !> RESULT(1) = norm( Q*C - Q*C ) / ( N * norm(C) * EPS ) !> RESULT(2) = norm( C*Q - C*Q ) / ( N * norm(C) * EPS ) !> RESULT(3) = norm( Q'*C - Q'*C )/ ( N * norm(C) * EPS ) !> RESULT(4) = norm( C*Q' - C*Q' )/ ( N * norm(C) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 134 of file srqt03.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |