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authorstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
committerstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
commit7dfcc480ba1e19bd3232349fc733caef94034292 (patch)
tree03ee104eb8846d5cc1a981d267687a729185d3f3 /Utilib/src/ALLUS.f
Initial commit from Polytechnique Montreal
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+*DECK ALLUS
+ SUBROUTINE ALLUS(L4,MU1,IMA,ASS,F)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* solution of a linear system where the coefficient matrix have been
+* factorized by a preceding call to ALLUF.
+*
+*Copyright:
+* Copyright (C) 1989 Ecole Polytechnique de Montreal
+* This library is free software; you can redistribute it and/or
+* modify it under the terms of the GNU Lesser General Public
+* License as published by the Free Software Foundation; either
+* version 2.1 of the License, or (at your option) any later version
+*
+*Author(s): A. Hebert
+*
+*Parameters: input
+* L4 order of the coefficient matrix.
+* MU1 position of each diagonal element in vector ASS.
+* IMA position of the first non-zero column element in vector ASS.
+* ASS LU factors of the coefficient matrix in compressed diagonal
+* storage mode. DIMENSION ASS(IMA(L4))
+* F right-hand side of the linear system.
+*
+*Parameters: output
+* F solution of the linear system.
+*
+*-----------------------------------------------------------------------
+*
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ INTEGER L4,MU1(L4),IMA(L4)
+ REAL ASS(*),F(L4)
+*
+ F(1)=F(1)/ASS(MU1(1))
+ DO 20 I=2,L4
+ K1=IMA(I-1)+1
+ K2=MU1(I)
+ KJ=I-K2+K1
+ T=-F(I)
+ DO 10 K=K1,K2-1
+ T=T+F(KJ)*ASS(K)
+ KJ=KJ+1
+ 10 CONTINUE
+ F(I)=-T/ASS(MU1(I))
+ 20 CONTINUE
+*
+ DO 40 I=L4,2,-1
+ K1=IMA(I)
+ K2=MU1(I)
+ KJ=I-K1+K2
+ T=-F(I)
+ DO 30 K=K1,K2+1,-1
+ F(KJ)=F(KJ)+ASS(K)*T
+ KJ=KJ+1
+ 30 CONTINUE
+ 40 CONTINUE
+ RETURN
+ END