LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ slsets()

 subroutine slsets ( 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( * ) C, real, dimension( * ) CF, real, dimension( * ) D, real, dimension( * ) DF, real, dimension( * ) X, real, dimension( lwork ) WORK, integer LWORK, real, dimension( * ) RWORK, real, dimension( 2 ) RESULT )

SLSETS

Purpose:
``` SLSETS tests SGGLSE - 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 REAL array, dimension (LDA,N) The M-by-N matrix A.``` [out] AF ` AF is REAL 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 REAL array, dimension (LDB,N) The P-by-N matrix A.``` [out] BF ` BF is REAL 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 REAL array, dimension( M ) the vector C in the LSE problem.``` [out] CF ` CF is REAL array, dimension( M )` [in] D ``` D is REAL array, dimension( P ) the vector D in the LSE problem.``` [out] DF ` DF is REAL array, dimension( P )` [out] X ``` X is REAL array, dimension( N ) solution vector X in the LSE problem.``` [out] WORK ` WORK is REAL array, dimension (LWORK)` [in] LWORK ``` LWORK is INTEGER The dimension of the array WORK.``` [out] RWORK ` RWORK is REAL array, dimension (M)` [out] RESULT ``` RESULT is REAL 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 157 of file slsets.f.

157 *
158 * -- LAPACK test routine (version 3.7.0) --
159 * -- LAPACK is a software package provided by Univ. of Tennessee, --
160 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
161 * December 2016
162 *
163 * .. Scalar Arguments ..
164  INTEGER lda, ldb, lwork, m, p, n
165 * ..
166 * .. Array Arguments ..
167  REAL a( lda, * ), af( lda, * ), b( ldb, * ),
168  \$ bf( ldb, * ), result( 2 ), rwork( * ),
169  \$ c( * ), d( * ), cf( * ), df( * ),
170  \$ work( lwork ), x( * )
171 *
172 * ====================================================================
173 *
174 * ..
175 * .. Local Scalars ..
176  INTEGER info
177 * ..
178 * .. External Subroutines ..
179  EXTERNAL sgglse, slacpy, sget02
180 * ..
181 * .. Executable Statements ..
182 *
183 * Copy the matrices A and B to the arrays AF and BF,
184 * and the vectors C and D to the arrays CF and DF,
185 *
186  CALL slacpy( 'Full', m, n, a, lda, af, lda )
187  CALL slacpy( 'Full', p, n, b, ldb, bf, ldb )
188  CALL scopy( m, c, 1, cf, 1 )
189  CALL scopy( p, d, 1, df, 1 )
190 *
191 * Solve LSE problem
192 *
193  CALL sgglse( m, n, p, af, lda, bf, ldb, cf, df, x,
194  \$ work, lwork, info )
195 *
196 * Test the residual for the solution of LSE
197 *
198 * Compute RESULT(1) = norm( A*x - c ) / norm(A)*norm(X)*EPS
199 *
200  CALL scopy( m, c, 1, cf, 1 )
201  CALL scopy( p, d, 1, df, 1 )
202  CALL sget02( 'No transpose', m, n, 1, a, lda, x, n, cf, m,
203  \$ rwork, result( 1 ) )
204 *
205 * Compute result(2) = norm( B*x - d ) / norm(B)*norm(X)*EPS
206 *
207  CALL sget02( 'No transpose', p, n, 1, b, ldb, x, n, df, p,
208  \$ rwork, result( 2 ) )
209 *
210  RETURN
211 *
212 * End of SLSETS
213 *
subroutine sget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
SGET02
Definition: sget02.f:135
subroutine sgglse(M, N, P, A, LDA, B, LDB, C, D, X, WORK, LWORK, INFO)
SGGLSE solves overdetermined or underdetermined systems for OTHER matrices
Definition: sgglse.f:182
subroutine scopy(N, SX, INCX, SY, INCY)
SCOPY
Definition: scopy.f:84
subroutine slacpy(UPLO, M, N, A, LDA, B, LDB)
SLACPY copies all or part of one two-dimensional array to another.
Definition: slacpy.f:105
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