crqt03.f3

!>
!> CRQT03 tests CUNMRQ, which computes Q*C, Q'*C, C*Q or C*Q'.
!>
!> CRQT03 compares the results of a call to CUNMRQ with the results of
!> forming Q explicitly by a call to CUNGRQ and then performing matrix
!> multiplication by a call to CGEMM.
!> 

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 COMPLEX array, dimension (LDA,N)
!>          Details of the RQ factorization of an m-by-n matrix, as
!>          returned by CGERQF. See CGERQF 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,N)
!> 

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 RQ 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 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 )
!> 

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