LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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◆ 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 dget02(trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
DGET02
Definition dget02.f:135
subroutine dcopy(n, dx, incx, dy, incy)
DCOPY
Definition dcopy.f:82
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
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
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