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+*DECK USSSEK
+ SUBROUTINE USSSEK(NBNRS,NQT,LMOD,SIGR,CONRL,WEIGH,SIGL,PIJK,DIL)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Compute the dilution matrix preserving the non-correlated collision
+* probability matrix in each subgroup. Use a fixed point iteration.
+*
+*Copyright:
+* Copyright (C) 2003 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
+* NBNRS number of correlated fuel regions.
+* NQT number of subgroups in admixed resonant isotope.
+* LMOD moderator flag (=.TRUE. if all regions are containing the
+* resonant isotopes; =.FALSE. if a moderator region exists).
+* SIGR macroscopic total xs of the other isotopes.
+* CONRL number density of the admixed resonant isotope.
+* WEIGH multiband weights for the admixed resonant isotope.
+* SIGL microscopic total xs of the admixed resonant isotope.
+* PIJK non-correlated collision probability matrix.
+*
+*Parameters: input/output
+* DIL estimate and converged value of the dilution matrix.
+*
+*-----------------------------------------------------------------------
+*
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ LOGICAL LMOD
+ INTEGER NBNRS,NQT
+ REAL SIGR(NBNRS),CONRL(NBNRS),WEIGH(NQT),SIGL(NQT),
+ 1 PIJK(0:NBNRS,0:NBNRS),DIL(0:NBNRS,0:NBNRS)
+*----
+* ALLOCATABLE ARRAYS
+*----
+ REAL, ALLOCATABLE, DIMENSION(:,:,:) :: WORK
+*----
+* SCRATCH STORAGE ALLOCATION
+*----
+ ALLOCATE(WORK(0:NBNRS,0:NBNRS,3))
+*
+ DEN=0.0
+ DO 20 I=0,NBNRS
+ DO 10 J=0,NBNRS
+ WORK(I,J,3)=PIJK(I,J)
+ DEN=MAX(DEN,ABS(PIJK(I,J)))
+ 10 CONTINUE
+ 20 CONTINUE
+ IF(LMOD) THEN
+ CALL ALINV(NBNRS,WORK(1,1,3),NBNRS+1,IER)
+ ELSE
+ CALL ALINV(NBNRS+1,WORK(0,0,3),NBNRS+1,IER)
+ ENDIF
+ IF(IER.NE.0) CALL XABORT('USSSEK: SINGULAR MATRIX(1).')
+ ITER=0
+ 30 ITER=ITER+1
+ IF(ITER.GT.50) CALL XABORT('USSSEK: MAXIMUM NB. OF ITERATIONS.')
+ DO 45 I=0,NBNRS
+ DO 40 J=0,NBNRS
+ WORK(I,J,1)=0.0
+ 40 CONTINUE
+ 45 CONTINUE
+ DO 72 L=1,NQT
+ DO 55 I=0,NBNRS
+ DO 50 J=0,NBNRS
+ WORK(I,J,2)=DIL(I,J)
+ 50 CONTINUE
+ 55 CONTINUE
+ DO 60 I=1,NBNRS
+ WORK(I,I,2)=WORK(I,I,2)+SIGR(I)+CONRL(I)*SIGL(L)
+ 60 CONTINUE
+ IF(LMOD) THEN
+ CALL ALINV(NBNRS,WORK(1,1,2),NBNRS+1,IER)
+ ELSE
+ CALL ALINV(NBNRS+1,WORK(0,0,2),NBNRS+1,IER)
+ ENDIF
+ IF(IER.NE.0) CALL XABORT('USSSEK: SINGULAR MATRIX(2).')
+ DO 71 I=0,NBNRS
+ DO 70 J=0,NBNRS
+ WORK(I,J,1)=WORK(I,J,1)+WEIGH(L)*WORK(I,J,2)
+ 70 CONTINUE
+ 71 CONTINUE
+ 72 CONTINUE
+ ERR=0.0
+ DO 85 I=0,NBNRS
+ DO 80 J=0,NBNRS
+ ERR=MAX(ERR,ABS(PIJK(I,J)-WORK(I,J,1)))
+ 80 CONTINUE
+ 85 CONTINUE
+ IF(ERR.LT.1.0E-4*DEN) GO TO 110
+ IF(LMOD) THEN
+ CALL ALINV(NBNRS,WORK(1,1,1),NBNRS+1,IER)
+ ELSE
+ CALL ALINV(NBNRS+1,WORK(0,0,1),NBNRS+1,IER)
+ ENDIF
+ IF(IER.NE.0) CALL XABORT('USSSEK: SINGULAR MATRIX(3).')
+ DO 105 I=0,NBNRS
+ DO 100 J=0,NBNRS
+ DIL(I,J)=DIL(I,J)+WORK(I,J,3)-WORK(I,J,1)
+ 100 CONTINUE
+ 105 CONTINUE
+ GO TO 30
+*----
+* SCRATCH STORAGE DEALLOCATION
+*----
+ 110 DEALLOCATE(WORK)
+ RETURN
+ END