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SUBROUTINE MB01SD( JOBS, M, N, A, LDA, R, C )
C
C SLICOT RELEASE 5.0.
C
C Copyright (c) 2002-2009 NICONET e.V.
C
C This program is free software: you can redistribute it and/or
C modify it under the terms of the GNU General Public License as
C published by the Free Software Foundation, either version 2 of
C the License, or (at your option) any later version.
C
C This program is distributed in the hope that it will be useful,
C but WITHOUT ANY WARRANTY; without even the implied warranty of
C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
C GNU General Public License for more details.
C
C You should have received a copy of the GNU General Public License
C along with this program. If not, see
C <http://www.gnu.org/licenses/>.
C
C PURPOSE
C
C To scale a general M-by-N matrix A using the row and column
C scaling factors in the vectors R and C.
C
C ARGUMENTS
C
C Mode Parameters
C
C JOBS CHARACTER*1
C Specifies the scaling operation to be done, as follows:
C = 'R': row scaling, i.e., A will be premultiplied
C by diag(R);
C = 'C': column scaling, i.e., A will be postmultiplied
C by diag(C);
C = 'B': both row and column scaling, i.e., A will be
C replaced by diag(R) * A * diag(C).
C
C Input/Output Parameters
C
C M (input) INTEGER
C The number of rows of the matrix A. M >= 0.
C
C N (input) INTEGER
C The number of columns of the matrix A. N >= 0.
C
C A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
C On entry, the M-by-N matrix A.
C On exit, the scaled matrix. See JOBS for the form of the
C scaled matrix.
C
C LDA INTEGER
C The leading dimension of the array A. LDA >= max(1,M).
C
C R (input) DOUBLE PRECISION array, dimension (M)
C The row scale factors for A.
C R is not referenced if JOBS = 'C'.
C
C C (input) DOUBLE PRECISION array, dimension (N)
C The column scale factors for A.
C C is not referenced if JOBS = 'R'.
C
C
C CONTRIBUTOR
C
C A. Varga, German Aerospace Center,
C DLR Oberpfaffenhofen, April 1998.
C Based on the RASP routine DMSCAL.
C
C ******************************************************************
C
C .. Scalar Arguments ..
CHARACTER JOBS
INTEGER LDA, M, N
C .. Array Arguments ..
DOUBLE PRECISION A(LDA,*), C(*), R(*)
C .. Local Scalars ..
INTEGER I, J
DOUBLE PRECISION CJ
C .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
C .. Executable Statements ..
C
C Quick return if possible.
C
IF( M.EQ.0 .OR. N.EQ.0 )
$ RETURN
C
IF( LSAME( JOBS, 'C' ) ) THEN
C
C Column scaling, no row scaling.
C
DO 20 J = 1, N
CJ = C(J)
DO 10 I = 1, M
A(I,J) = CJ*A(I,J)
10 CONTINUE
20 CONTINUE
ELSE IF( LSAME( JOBS, 'R' ) ) THEN
C
C Row scaling, no column scaling.
C
DO 40 J = 1, N
DO 30 I = 1, M
A(I,J) = R(I)*A(I,J)
30 CONTINUE
40 CONTINUE
ELSE IF( LSAME( JOBS, 'B' ) ) THEN
C
C Row and column scaling.
C
DO 60 J = 1, N
CJ = C(J)
DO 50 I = 1, M
A(I,J) = CJ*R(I)*A(I,J)
50 CONTINUE
60 CONTINUE
END IF
C
RETURN
C *** Last line of MB01SD ***
END
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