zqlt03.f - Man Page

TESTING/LIN/zqlt03.f

Synopsis

Functions/Subroutines

subroutine zqlt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
ZQLT03

Function/Subroutine Documentation

subroutine zqlt03 (integer m, integer n, integer k, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) c, complex*16, dimension( lda, * ) cc, complex*16, dimension( lda, * ) q, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

ZQLT03

Purpose:

 ZQLT03 tests ZUNMQL, which computes Q*C, Q'*C, C*Q or C*Q'.

 ZQLT03 compares the results of a call to ZUNMQL with the results of
 forming Q explicitly by a call to ZUNGQL and then performing matrix
 multiplication by a call to ZGEMM.
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*16 array, dimension (LDA,N)
          Details of the QL factorization of an m-by-n matrix, as
          returned by ZGEQLF. See CGEQLF for further details.

C

          C is COMPLEX*16 array, dimension (LDA,N)

CC

          CC is COMPLEX*16 array, dimension (LDA,N)

Q

          Q is COMPLEX*16 array, dimension (LDA,M)

LDA

          LDA is INTEGER
          The leading dimension of the arrays AF, C, CC, and Q.

TAU

          TAU is COMPLEX*16 array, dimension (min(M,N))
          The scalar factors of the elementary reflectors corresponding
          to the QL factorization in AF.

WORK

          WORK is COMPLEX*16 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 DOUBLE PRECISION array, dimension (M)

RESULT

          RESULT is DOUBLE PRECISION 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 zqlt03.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page zqlt03(3) is an alias of zqlt03.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK