table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cqrt03.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cqrt03.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cqrt03.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CQRT03 (m, n, k, af, c, cc, q, lda, tau, work,
lwork, rwork, result)
CQRT03
Function/Subroutine Documentation¶
subroutine CQRT03 (integer m, integer n, integer k, complex, dimension( lda, * ) af, complex, dimension( lda, * ) c, complex, dimension( lda, * ) cc, complex, dimension( lda, * ) q, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)¶
CQRT03
Purpose:
!> !> CQRT03 tests CUNMQR, which computes Q*C, Q'*C, C*Q or C*Q'. !> !> CQRT03 compares the results of a call to CUNMQR with the results of !> forming Q explicitly by a call to CUNGQR and then performing matrix !> multiplication by a call to CGEMM. !>
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 COMPLEX array, dimension (LDA,N) !> Details of the QR factorization of an m-by-n matrix, as !> returned by CGEQRF. See CGEQRF for further details. !>
C
!> C is COMPLEX array, dimension (LDA,N) !>
CC
!> CC is COMPLEX array, dimension (LDA,N) !>
Q
!> Q is COMPLEX array, dimension (LDA,M) !>
LDA
!> LDA is INTEGER !> The leading dimension of the arrays AF, C, CC, and Q. !>
TAU
!> TAU is COMPLEX array, dimension (min(M,N)) !> The scalar factors of the elementary reflectors corresponding !> to the QR factorization in AF. !>
WORK
!> WORK is COMPLEX 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 cqrt03.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |