LAPACK  3.8.0
LAPACK: Linear Algebra PACKage

◆ zlsets()

subroutine zlsets ( integer  M,
integer  P,
integer  N,
complex*16, dimension( lda, * )  A,
complex*16, dimension( lda, * )  AF,
integer  LDA,
complex*16, dimension( ldb, * )  B,
complex*16, dimension( ldb, * )  BF,
integer  LDB,
complex*16, dimension( * )  C,
complex*16, dimension( * )  CF,
complex*16, dimension( * )  D,
complex*16, dimension( * )  DF,
complex*16, dimension( * )  X,
complex*16, dimension( lwork )  WORK,
integer  LWORK,
double precision, dimension( * )  RWORK,
double precision, dimension( 2 )  RESULT 
)

ZLSETS

Purpose:
 ZLSETS tests ZGGLSE - 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 COMPLEX*16 array, dimension (LDA,N)
          The M-by-N matrix A.
[out]AF
          AF is COMPLEX*16 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 COMPLEX*16 array, dimension (LDB,N)
          The P-by-N matrix A.
[out]BF
          BF is COMPLEX*16 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 COMPLEX*16 array, dimension( M )
          the vector C in the LSE problem.
[out]CF
          CF is COMPLEX*16 array, dimension( M )
[in]D
          D is COMPLEX*16 array, dimension( P )
          the vector D in the LSE problem.
[out]DF
          DF is COMPLEX*16 array, dimension( P )
[out]X
          X is COMPLEX*16 array, dimension( N )
          solution vector X in the LSE problem.
[out]WORK
          WORK is COMPLEX*16 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
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
December 2016

Definition at line 153 of file zlsets.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 result( 2 ), rwork( * )
167  COMPLEX*16 a( lda, * ), af( lda, * ), b( ldb, * ),
168  $ bf( ldb, * ), c( * ), cf( * ), d( * ), df( * ),
169  $ work( lwork ), x( * )
170 * ..
171 * .. Local Scalars ..
172  INTEGER info
173 * ..
174 * .. External Subroutines ..
175  EXTERNAL zcopy, zget02, zgglse, zlacpy
176 * ..
177 * .. Executable Statements ..
178 *
179 * Copy the matrices A and B to the arrays AF and BF,
180 * and the vectors C and D to the arrays CF and DF,
181 *
182  CALL zlacpy( 'Full', m, n, a, lda, af, lda )
183  CALL zlacpy( 'Full', p, n, b, ldb, bf, ldb )
184  CALL zcopy( m, c, 1, cf, 1 )
185  CALL zcopy( p, d, 1, df, 1 )
186 *
187 * Solve LSE problem
188 *
189  CALL zgglse( m, n, p, af, lda, bf, ldb, cf, df, x, work, lwork,
190  $ info )
191 *
192 * Test the residual for the solution of LSE
193 *
194 * Compute RESULT(1) = norm( A*x - c ) / norm(A)*norm(X)*EPS
195 *
196  CALL zcopy( m, c, 1, cf, 1 )
197  CALL zcopy( p, d, 1, df, 1 )
198  CALL zget02( 'No transpose', m, n, 1, a, lda, x, n, cf, m, rwork,
199  $ result( 1 ) )
200 *
201 * Compute result(2) = norm( B*x - d ) / norm(B)*norm(X)*EPS
202 *
203  CALL zget02( 'No transpose', p, n, 1, b, ldb, x, n, df, p, rwork,
204  $ result( 2 ) )
205 *
206  RETURN
207 *
208 * End of ZLSETS
209 *
subroutine zcopy(N, ZX, INCX, ZY, INCY)
ZCOPY
Definition: zcopy.f:83
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:105
subroutine zget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZGET02
Definition: zget02.f:135
subroutine zgglse(M, N, P, A, LDA, B, LDB, C, D, X, WORK, LWORK, INFO)
ZGGLSE solves overdetermined or underdetermined systems for OTHER matrices
Definition: zgglse.f:182
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