147 lines
4.8 KiB
Fortran
147 lines
4.8 KiB
Fortran
SUBROUTINE MC03NX( MP, NP, DP, P, LDP1, LDP2, A, LDA, E, LDE )
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C
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C SLICOT RELEASE 5.0.
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C
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C Copyright (c) 2002-2009 NICONET e.V.
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C
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C This program is free software: you can redistribute it and/or
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C modify it under the terms of the GNU General Public License as
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C published by the Free Software Foundation, either version 2 of
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C the License, or (at your option) any later version.
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C
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C This program is distributed in the hope that it will be useful,
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C but WITHOUT ANY WARRANTY; without even the implied warranty of
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C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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C GNU General Public License for more details.
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C
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C You should have received a copy of the GNU General Public License
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C along with this program. If not, see
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C <http://www.gnu.org/licenses/>.
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C
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C PURPOSE
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C
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C Given an MP-by-NP polynomial matrix of degree dp
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C dp-1 dp
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C P(s) = P(0) + ... + P(dp-1) * s + P(dp) * s (1)
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C
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C the routine composes the related pencil s*E-A where
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C
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C | I | | O -P(dp) |
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C | . | | I . . |
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C A = | . | and E = | . . . |. (2)
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C | . | | . O . |
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C | I | | I O -P(2) |
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C | P(0) | | I -P(1) |
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C
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C ==================================================================
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C REMARK: This routine is intended to be called only from the SLICOT
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C routine MC03ND.
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C ==================================================================
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C
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C ARGUMENTS
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C
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C Input/Output Parameters
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C
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C MP (input) INTEGER
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C The number of rows of the polynomial matrix P(s).
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C MP >= 0.
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C
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C NP (input) INTEGER
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C The number of columns of the polynomial matrix P(s).
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C NP >= 0.
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C
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C DP (input) INTEGER
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C The degree of the polynomial matrix P(s). DP >= 1.
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C
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C P (input) DOUBLE PRECISION array, dimension (LDP1,LDP2,DP+1)
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C The leading MP-by-NP-by-(DP+1) part of this array must
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C contain the coefficients of the polynomial matrix P(s)
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C in (1) in increasing powers of s.
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C
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C LDP1 INTEGER
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C The leading dimension of array P. LDP1 >= MAX(1,MP).
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C
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C LDP2 INTEGER
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C The second dimension of array P. LDP2 >= MAX(1,NP).
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C
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C A (output) DOUBLE PRECISION array, dimension
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C (LDA,(DP-1)*MP+NP)
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C The leading DP*MP-by-((DP-1)*MP+NP) part of this array
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C contains the matrix A as described in (2).
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C
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C LDA INTEGER
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C The leading dimension of array A. LDA >= MAX(1,DP*MP).
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C
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C E (output) DOUBLE PRECISION array, dimension
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C (LDE,(DP-1)*MP+NP)
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C The leading DP*MP-by-((DP-1)*MP+NP) part of this array
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C contains the matrix E as described in (2).
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C
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C LDE INTEGER
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C The leading dimension of array E. LDE >= MAX(1,DP*MP).
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C
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C NUMERICAL ASPECTS
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C
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C None.
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C
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C CONTRIBUTOR
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C
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C Release 3.0: V. Sima, Katholieke Univ. Leuven, Belgium, Mar. 1997.
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C Supersedes Release 2.0 routine MC03BX by G.J.H.H. van den Hurk.
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C
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C REVISIONS
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C
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C -
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C
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C KEYWORDS
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C
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C Elementary polynomial operations, input output description,
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C polynomial matrix, polynomial operations.
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C
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C ******************************************************************
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C
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C .. Parameters ..
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DOUBLE PRECISION ZERO, ONE
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PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
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C .. Scalar Arguments ..
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INTEGER DP, LDA, LDE, LDP1, LDP2, MP, NP
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C .. Array Arguments ..
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DOUBLE PRECISION A(LDA,*), E(LDE,*), P(LDP1,LDP2,*)
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C .. Local Scalars ..
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INTEGER H1, HB, HE, HI, J, K
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C .. External Subroutines ..
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EXTERNAL DLACPY, DLASET, DSCAL
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C .. Executable Statements ..
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C
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IF ( MP.LE.0 .OR. NP.LE.0 )
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$ RETURN
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C
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C Initialisation of matrices A and E.
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C
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H1 = DP*MP
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HB = H1 - MP
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HE = HB + NP
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CALL DLASET( 'Full', H1, HE, ZERO, ONE, A, LDA )
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CALL DLASET( 'Full', MP, HB, ZERO, ZERO, E, LDE )
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CALL DLACPY( 'Full', HB, HB, A, LDA, E(MP+1,1), LDE )
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C
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C Insert the matrices P(0), P(1), ..., P(dp) at the right places
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C in the matrices A and E.
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C
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HB = HB + 1
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CALL DLACPY( 'Full', MP, NP, P(1,1,1), LDP1, A(HB,HB), LDA )
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HI = 1
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C
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DO 20 K = DP + 1, 2, -1
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CALL DLACPY( 'Full', MP, NP, P(1,1,K), LDP1, E(HI,HB), LDE )
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HI = HI + MP
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20 CONTINUE
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C
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DO 40 J = HB, HE
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CALL DSCAL( H1, -ONE, E(1,J), 1 )
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40 CONTINUE
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C
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RETURN
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C *** Last line of MC03NX ***
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END
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