 LAPACK  3.10.0 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

Definition at line 149 of file dlsets.f.

151 *
152 * -- LAPACK test routine --
153 * -- LAPACK is a software package provided by Univ. of Tennessee, --
154 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
155 *
156 * .. Scalar Arguments ..
157  INTEGER LDA, LDB, LWORK, M, N, P
158 * ..
159 * .. Array Arguments ..
160 *
161 * ====================================================================
162 *
163  DOUBLE PRECISION A( LDA, * ), AF( LDA, * ), B( LDB, * ),
164  \$ BF( LDB, * ), C( * ), CF( * ), D( * ), DF( * ),
165  \$ RESULT( 2 ), RWORK( * ), WORK( LWORK ), X( * )
166 * ..
167 * .. Local Scalars ..
168  INTEGER INFO
169 * ..
170 * .. External Subroutines ..
171  EXTERNAL dcopy, dget02, dgglse, dlacpy
172 * ..
173 * .. Executable Statements ..
174 *
175 * Copy the matrices A and B to the arrays AF and BF,
176 * and the vectors C and D to the arrays CF and DF,
177 *
178  CALL dlacpy( 'Full', m, n, a, lda, af, lda )
179  CALL dlacpy( 'Full', p, n, b, ldb, bf, ldb )
180  CALL dcopy( m, c, 1, cf, 1 )
181  CALL dcopy( p, d, 1, df, 1 )
182 *
183 * Solve LSE problem
184 *
185  CALL dgglse( m, n, p, af, lda, bf, ldb, cf, df, x, work, lwork,
186  \$ info )
187 *
188 * Test the residual for the solution of LSE
189 *
190 * Compute RESULT(1) = norm( A*x - c ) / norm(A)*norm(X)*EPS
191 *
192  CALL dcopy( m, c, 1, cf, 1 )
193  CALL dcopy( p, d, 1, df, 1 )
194  CALL dget02( 'No transpose', m, n, 1, a, lda, x, n, cf, m, rwork,
195  \$ result( 1 ) )
196 *
197 * Compute result(2) = norm( B*x - d ) / norm(B)*norm(X)*EPS
198 *
199  CALL dget02( 'No transpose', p, n, 1, b, ldb, x, n, df, p, rwork,
200  \$ result( 2 ) )
201 *
202  RETURN
203 *
204 * End of DLSETS
205 *
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:103
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
Definition: dcopy.f:82
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:180
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