.TH "TESTING/LIN/zqrt02.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/zqrt02.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzqrt02\fP (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result)"
.br
.RI "\fBZQRT02\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zqrt02 (integer m, integer n, integer k, complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q, complex*16, dimension( lda, * ) r, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)"

.PP
\fBZQRT02\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> ZQRT02 tests ZUNGQR, which generates an m-by-n matrix Q with
!> orthonormal columns that is defined as the product of k elementary
!> reflectors\&.
!>
!> Given the QR factorization of an m-by-n matrix A, ZQRT02 generates
!> the orthogonal matrix Q defined by the factorization of the first k
!> columns of A; it compares R(1:n,1:k) with Q(1:m,1:n)'*A(1:m,1:k),
!> and checks that the columns of Q are orthonormal\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          The number of rows of the matrix Q to be generated\&.  M >= 0\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The number of columns of the matrix Q to be generated\&.
!>          M >= N >= 0\&.
!> 
.fi
.PP
.br
\fIK\fP 
.PP
.nf
!>          K is INTEGER
!>          The number of elementary reflectors whose product defines the
!>          matrix Q\&. N >= K >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The m-by-n matrix A which was factorized by ZQRT01\&.
!> 
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
!>          AF is COMPLEX*16 array, dimension (LDA,N)
!>          Details of the QR factorization of A, as returned by ZGEQRF\&.
!>          See ZGEQRF for further details\&.
!> 
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
!>          Q is COMPLEX*16 array, dimension (LDA,N)
!> 
.fi
.PP
.br
\fIR\fP 
.PP
.nf
!>          R is COMPLEX*16 array, dimension (LDA,N)
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the arrays A, AF, Q and R\&. LDA >= M\&.
!> 
.fi
.PP
.br
\fITAU\fP 
.PP
.nf
!>          TAU is COMPLEX*16 array, dimension (N)
!>          The scalar factors of the elementary reflectors corresponding
!>          to the QR factorization in AF\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
!>          WORK is COMPLEX*16 array, dimension (LWORK)
!> 
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
!>          LWORK is INTEGER
!>          The dimension of the array WORK\&.
!> 
.fi
.PP
.br
\fIRWORK\fP 
.PP
.nf
!>          RWORK is DOUBLE PRECISION array, dimension (M)
!> 
.fi
.PP
.br
\fIRESULT\fP 
.PP
.nf
!>          RESULT is DOUBLE PRECISION array, dimension (2)
!>          The test ratios:
!>          RESULT(1) = norm( R - Q'*A ) / ( M * norm(A) * EPS )
!>          RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB133\fP of file \fBzqrt02\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.