cqlt03.f - Man Page
TESTING/LIN/cqlt03.f
Synopsis
Functions/Subroutines
subroutine cqlt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
CQLT03
Function/Subroutine Documentation
subroutine cqlt03 (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)
CQLT03
Purpose:
CQLT03 tests CUNMQL, which computes Q*C, Q'*C, C*Q or C*Q'. CQLT03 compares the results of a call to CUNMQL with the results of forming Q explicitly by a call to CUNGQL 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 QL factorization of an m-by-n matrix, as returned by CGEQLF. See CGEQLF 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 QL 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 cqlt03.f.
Author
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Referenced By
The man page cqlt03(3) is an alias of cqlt03.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK