table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sqrt03.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sqrt03.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sqrt03.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SQRT03 (m, n, k, af, c, cc, q, lda, tau, work,
lwork, rwork, result)
SQRT03
Function/Subroutine Documentation¶
subroutine SQRT03 (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)¶
SQRT03
Purpose:
!> !> SQRT03 tests SORMQR, which computes Q*C, Q'*C, C*Q or C*Q'. !> !> SQRT03 compares the results of a call to SORMQR with the results of !> forming Q explicitly by a call to SORGQR and then performing matrix !> multiplication by a call to SGEMM. !>
Parameters
M
!> M is INTEGER !> The order of the orthogonal matrix Q. M >= 0. !>
N
!> N is INTEGER !> The number of rows or columns of the matrix C; C is m-by-n if !> Q is applied from the left, or n-by-m if Q is applied from !> the right. N >= 0. !>
K
!> K is INTEGER !> The number of elementary reflectors whose product defines the !> orthogonal matrix Q. M >= K >= 0. !>
AF
!> AF is REAL array, dimension (LDA,N) !> Details of the QR factorization of an m-by-n matrix, as !> returned by SGEQRF. See SGEQRF 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,M) !>
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 QR 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 m-by-m orthogonal matrix Q. !> RESULT(1) = norm( Q*C - Q*C ) / ( M * norm(C) * EPS ) !> RESULT(2) = norm( C*Q - C*Q ) / ( M * norm(C) * EPS ) !> RESULT(3) = norm( Q'*C - Q'*C )/ ( M * norm(C) * EPS ) !> RESULT(4) = norm( C*Q' - C*Q' )/ ( M * norm(C) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 134 of file sqrt03.f.
Author¶
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