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

.in +1c
.ti -1c
.RI "subroutine \fBzgqrts\fP (n, m, p, a, af, q, r, lda, taua, b, bf, z, t, bwk, ldb, taub, work, lwork, rwork, result)"
.br
.RI "\fBZGQRTS\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zgqrts (integer n, integer m, integer p, 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( * ) taua, complex*16, dimension( ldb, * ) b, complex*16, dimension( ldb, * ) bf, complex*16, dimension( ldb, * ) z, complex*16, dimension( ldb, * ) t, complex*16, dimension( ldb, * ) bwk, integer ldb, complex*16, dimension( * ) taub, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( 4 ) result)"

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

.PP
.nf
 ZGQRTS tests ZGGQRF, which computes the GQR factorization of an
 N-by-M matrix A and a N-by-P matrix B: A = Q*R and B = Q*T*Z\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of rows of the matrices A and B\&.  N >= 0\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of columns of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIP\fP 
.PP
.nf
          P is INTEGER
          The number of columns of the matrix B\&.  P >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX*16 array, dimension (LDA,M)
          The N-by-M matrix A\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is COMPLEX*16 array, dimension (LDA,N)
          Details of the GQR factorization of A and B, as returned
          by ZGGQRF, see CGGQRF for further details\&.
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
          Q is COMPLEX*16 array, dimension (LDA,N)
          The M-by-M unitary matrix Q\&.
.fi
.PP
.br
\fIR\fP 
.PP
.nf
          R is COMPLEX*16 array, dimension (LDA,MAX(M,N))
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the arrays A, AF, R and Q\&.
          LDA >= max(M,N)\&.
.fi
.PP
.br
\fITAUA\fP 
.PP
.nf
          TAUA is COMPLEX*16 array, dimension (min(M,N))
          The scalar factors of the elementary reflectors, as returned
          by ZGGQRF\&.
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is COMPLEX*16 array, dimension (LDB,P)
          On entry, the N-by-P matrix A\&.
.fi
.PP
.br
\fIBF\fP 
.PP
.nf
          BF is COMPLEX*16 array, dimension (LDB,N)
          Details of the GQR factorization of A and B, as returned
          by ZGGQRF, see CGGQRF for further details\&.
.fi
.PP
.br
\fIZ\fP 
.PP
.nf
          Z is COMPLEX*16 array, dimension (LDB,P)
          The P-by-P unitary matrix Z\&.
.fi
.PP
.br
\fIT\fP 
.PP
.nf
          T is COMPLEX*16 array, dimension (LDB,max(P,N))
.fi
.PP
.br
\fIBWK\fP 
.PP
.nf
          BWK is COMPLEX*16 array, dimension (LDB,N)
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
          LDB is INTEGER
          The leading dimension of the arrays B, BF, Z and T\&.
          LDB >= max(P,N)\&.
.fi
.PP
.br
\fITAUB\fP 
.PP
.nf
          TAUB is COMPLEX*16 array, dimension (min(P,N))
          The scalar factors of the elementary reflectors, as returned
          by DGGRQF\&.
.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, LWORK >= max(N,M,P)**2\&.
.fi
.PP
.br
\fIRWORK\fP 
.PP
.nf
          RWORK is DOUBLE PRECISION array, dimension (max(N,M,P))
.fi
.PP
.br
\fIRESULT\fP 
.PP
.nf
          RESULT is DOUBLE PRECISION array, dimension (4)
          The test ratios:
            RESULT(1) = norm( R - Q'*A ) / ( MAX(M,N)*norm(A)*ULP)
            RESULT(2) = norm( T*Z - Q'*B ) / (MAX(P,N)*norm(B)*ULP)
            RESULT(3) = norm( I - Q'*Q ) / ( M*ULP )
            RESULT(4) = norm( I - Z'*Z ) / ( P*ULP )
.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 \fB174\fP of file \fBzgqrts\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.