LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ dlsets()

 subroutine dlsets ( integer M, integer P, integer N, double precision, dimension( lda, * ) A, double precision, dimension( lda, * ) AF, integer LDA, double precision, dimension( ldb, * ) B, double precision, dimension( ldb, * ) BF, integer LDB, double precision, dimension( * ) C, double precision, dimension( * ) CF, double precision, dimension( * ) D, double precision, dimension( * ) DF, double precision, dimension( * ) X, double precision, dimension( lwork ) WORK, integer LWORK, double precision, dimension( * ) RWORK, double precision, dimension( 2 ) RESULT )

DLSETS

Purpose:
``` DLSETS tests DGGLSE - a subroutine for solving linear equality
constrained least square problem (LSE).```
Parameters
 [in] M ``` M is INTEGER The number of rows of the matrix A. M >= 0.``` [in] P ``` P is INTEGER The number of rows of the matrix B. P >= 0.``` [in] N ``` N is INTEGER The number of columns of the matrices A and B. N >= 0.``` [in] A ``` A is DOUBLE PRECISION array, dimension (LDA,N) The M-by-N matrix A.``` [out] AF ` AF is DOUBLE PRECISION array, dimension (LDA,N)` [in] LDA ``` LDA is INTEGER The leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N).``` [in] B ``` B is DOUBLE PRECISION array, dimension (LDB,N) The P-by-N matrix A.``` [out] BF ` BF is DOUBLE PRECISION array, dimension (LDB,N)` [in] LDB ``` LDB is INTEGER The leading dimension of the arrays B, BF, V and S. LDB >= max(P,N).``` [in] C ``` C is DOUBLE PRECISION array, dimension( M ) the vector C in the LSE problem.``` [out] CF ` CF is DOUBLE PRECISION array, dimension( M )` [in] D ``` D is DOUBLE PRECISION array, dimension( P ) the vector D in the LSE problem.``` [out] DF ` DF is DOUBLE PRECISION array, dimension( P )` [out] X ``` X is DOUBLE PRECISION array, dimension( N ) solution vector X in the LSE problem.``` [out] WORK ` WORK is DOUBLE PRECISION array, dimension (LWORK)` [in] LWORK ``` LWORK is INTEGER The dimension of the array WORK.``` [out] RWORK ` RWORK is DOUBLE PRECISION array, dimension (M)` [out] RESULT ``` RESULT is DOUBLE PRECISION array, dimension (2) The test ratios: RESULT(1) = norm( A*x - c )/ norm(A)*norm(X)*EPS RESULT(2) = norm( B*x - d )/ norm(B)*norm(X)*EPS```
Date
December 2016

Definition at line 153 of file dlsets.f.

153 *
154 * -- LAPACK test routine (version 3.7.0) --
155 * -- LAPACK is a software package provided by Univ. of Tennessee, --
156 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
157 * December 2016
158 *
159 * .. Scalar Arguments ..
160  INTEGER lda, ldb, lwork, m, n, p
161 * ..
162 * .. Array Arguments ..
163 *
164 * ====================================================================
165 *
166  DOUBLE PRECISION a( lda, * ), af( lda, * ), b( ldb, * ),
167  \$ bf( ldb, * ), c( * ), cf( * ), d( * ), df( * ),
168  \$ result( 2 ), rwork( * ), work( lwork ), x( * )
169 * ..
170 * .. Local Scalars ..
171  INTEGER info
172 * ..
173 * .. External Subroutines ..
174  EXTERNAL dcopy, dget02, dgglse, dlacpy
175 * ..
176 * .. Executable Statements ..
177 *
178 * Copy the matrices A and B to the arrays AF and BF,
179 * and the vectors C and D to the arrays CF and DF,
180 *
181  CALL dlacpy( 'Full', m, n, a, lda, af, lda )
182  CALL dlacpy( 'Full', p, n, b, ldb, bf, ldb )
183  CALL dcopy( m, c, 1, cf, 1 )
184  CALL dcopy( p, d, 1, df, 1 )
185 *
186 * Solve LSE problem
187 *
188  CALL dgglse( m, n, p, af, lda, bf, ldb, cf, df, x, work, lwork,
189  \$ info )
190 *
191 * Test the residual for the solution of LSE
192 *
193 * Compute RESULT(1) = norm( A*x - c ) / norm(A)*norm(X)*EPS
194 *
195  CALL dcopy( m, c, 1, cf, 1 )
196  CALL dcopy( p, d, 1, df, 1 )
197  CALL dget02( 'No transpose', m, n, 1, a, lda, x, n, cf, m, rwork,
198  \$ result( 1 ) )
199 *
200 * Compute result(2) = norm( B*x - d ) / norm(B)*norm(X)*EPS
201 *
202  CALL dget02( 'No transpose', p, n, 1, b, ldb, x, n, df, p, rwork,
203  \$ result( 2 ) )
204 *
205  RETURN
206 *
207 * End of DLSETS
208 *
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:105
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
Definition: dcopy.f:84
subroutine dget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DGET02
Definition: dget02.f:135
subroutine dgglse(M, N, P, A, LDA, B, LDB, C, D, X, WORK, LWORK, INFO)
DGGLSE solves overdetermined or underdetermined systems for OTHER matrices
Definition: dgglse.f:182
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