.TH "TESTING/EIG/sgsvts3.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/EIG/sgsvts3.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsgsvts3\fP (m, p, n, a, af, lda, b, bf, ldb, u, ldu, v, ldv, q, ldq, alpha, beta, r, ldr, iwork, work, lwork, rwork, result)"
.br
.RI "\fBSGSVTS3\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sgsvts3 (integer m, integer p, integer n, real, dimension( lda, * ) a, real, dimension( lda, * ) af, integer lda, real, dimension( ldb, * ) b, real, dimension( ldb, * ) bf, integer ldb, real, dimension( ldu, * ) u, integer ldu, real, dimension( ldv, * ) v, integer ldv, real, dimension( ldq, * ) q, integer ldq, real, dimension( * ) alpha, real, dimension( * ) beta, real, dimension( ldr, * ) r, integer ldr, integer, dimension( * ) iwork, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( 6 ) result)"

.PP
\fBSGSVTS3\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 SGSVTS3 tests SGGSVD3, which computes the GSVD of an M-by-N matrix A
 and a P-by-N matrix B:
              U'*A*Q = D1*R and V'*B*Q = D2*R\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIP\fP 
.PP
.nf
          P is INTEGER
          The number of rows of the matrix B\&.  P >= 0\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of columns of the matrices A and B\&.  N >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is REAL array, dimension (LDA,M)
          The M-by-N matrix A\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is REAL array, dimension (LDA,N)
          Details of the GSVD of A and B, as returned by SGGSVD3,
          see SGGSVD3 for further details\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the arrays A and AF\&.
          LDA >= max( 1,M )\&.
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is REAL array, dimension (LDB,P)
          On entry, the P-by-N matrix B\&.
.fi
.PP
.br
\fIBF\fP 
.PP
.nf
          BF is REAL array, dimension (LDB,N)
          Details of the GSVD of A and B, as returned by SGGSVD3,
          see SGGSVD3 for further details\&.
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
          LDB is INTEGER
          The leading dimension of the arrays B and BF\&.
          LDB >= max(1,P)\&.
.fi
.PP
.br
\fIU\fP 
.PP
.nf
          U is REAL array, dimension(LDU,M)
          The M by M orthogonal matrix U\&.
.fi
.PP
.br
\fILDU\fP 
.PP
.nf
          LDU is INTEGER
          The leading dimension of the array U\&. LDU >= max(1,M)\&.
.fi
.PP
.br
\fIV\fP 
.PP
.nf
          V is REAL array, dimension(LDV,M)
          The P by P orthogonal matrix V\&.
.fi
.PP
.br
\fILDV\fP 
.PP
.nf
          LDV is INTEGER
          The leading dimension of the array V\&. LDV >= max(1,P)\&.
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
          Q is REAL array, dimension(LDQ,N)
          The N by N orthogonal matrix Q\&.
.fi
.PP
.br
\fILDQ\fP 
.PP
.nf
          LDQ is INTEGER
          The leading dimension of the array Q\&. LDQ >= max(1,N)\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is REAL array, dimension (N)
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is REAL array, dimension (N)

          The generalized singular value pairs of A and B, the
          ``diagonal'' matrices D1 and D2 are constructed from
          ALPHA and BETA, see subroutine SGGSVD3 for details\&.
.fi
.PP
.br
\fIR\fP 
.PP
.nf
          R is REAL array, dimension(LDQ,N)
          The upper triangular matrix R\&.
.fi
.PP
.br
\fILDR\fP 
.PP
.nf
          LDR is INTEGER
          The leading dimension of the array R\&. LDR >= max(1,N)\&.
.fi
.PP
.br
\fIIWORK\fP 
.PP
.nf
          IWORK is INTEGER array, dimension (N)
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is REAL array, dimension (LWORK)
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
          LWORK is INTEGER
          The dimension of the array WORK,
          LWORK >= max(M,P,N)*max(M,P,N)\&.
.fi
.PP
.br
\fIRWORK\fP 
.PP
.nf
          RWORK is REAL array, dimension (max(M,P,N))
.fi
.PP
.br
\fIRESULT\fP 
.PP
.nf
          RESULT is REAL array, dimension (6)
          The test ratios:
          RESULT(1) = norm( U'*A*Q - D1*R ) / ( MAX(M,N)*norm(A)*ULP)
          RESULT(2) = norm( V'*B*Q - D2*R ) / ( MAX(P,N)*norm(B)*ULP)
          RESULT(3) = norm( I - U'*U ) / ( M*ULP )
          RESULT(4) = norm( I - V'*V ) / ( P*ULP )
          RESULT(5) = norm( I - Q'*Q ) / ( N*ULP )
          RESULT(6) = 0        if ALPHA is in decreasing order;
                    = ULPINV   otherwise\&.
.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 \fB207\fP of file \fBsgsvts3\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.