SLATEC Routines --- SS2LT ---
*DECK SS2LT
SUBROUTINE SS2LT (N, NELT, IA, JA, A, ISYM, NEL, IEL, JEL, EL)
C***BEGIN PROLOGUE SS2LT
C***PURPOSE Lower Triangle Preconditioner SLAP Set Up.
C Routine to store the lower triangle of a matrix stored
C in the SLAP Column format.
C***LIBRARY SLATEC (SLAP)
C***CATEGORY D2E
C***TYPE SINGLE PRECISION (SS2LT-S, DS2LT-D)
C***KEYWORDS LINEAR SYSTEM, LOWER TRIANGLE, SLAP SPARSE
C***AUTHOR Greenbaum, Anne, (Courant Institute)
C Seager, Mark K., (LLNL)
C Lawrence Livermore National Laboratory
C PO BOX 808, L-60
C Livermore, CA 94550 (510) 423-3141
C seager@llnl.gov
C***DESCRIPTION
C
C *Usage:
C INTEGER N, NELT, IA(NELT), JA(NELT), ISYM
C INTEGER NEL, IEL(NEL), JEL(NEL)
C REAL A(NELT), EL(NEL)
C
C CALL SS2LT( N, NELT, IA, JA, A, ISYM, NEL, IEL, JEL, EL )
C
C *Arguments:
C N :IN Integer
C Order of the Matrix.
C NELT :IN Integer.
C Number of non-zeros stored in A.
C IA :IN Integer IA(NELT).
C JA :IN Integer JA(NELT).
C A :IN Real A(NELT).
C These arrays should hold the matrix A in the SLAP Column
C format. See "Description", below.
C ISYM :IN Integer.
C Flag to indicate symmetric storage format.
C If ISYM=0, all non-zero entries of the matrix are stored.
C If ISYM=1, the matrix is symmetric, and only the lower
C triangle of the matrix is stored.
C NEL :OUT Integer.
C Number of non-zeros in the lower triangle of A. Also
C corresponds to the length of the IEL, JEL, EL arrays.
C IEL :OUT Integer IEL(NEL).
C JEL :OUT Integer JEL(NEL).
C EL :OUT Real EL(NEL).
C IEL, JEL, EL contain the lower triangle of the A matrix
C stored in SLAP Column format. See "Description", below,
C for more details bout the SLAP Column format.
C
C *Description
C =================== S L A P Column format ==================
C This routine requires that the matrix A be stored in the
C SLAP Column format. In this format the non-zeros are stored
C counting down columns (except for the diagonal entry, which
C must appear first in each "column") and are stored in the
C real array A. In other words, for each column in the matrix
C put the diagonal entry in A. Then put in the other non-zero
C elements going down the column (except the diagonal) in
C order. The IA array holds the row index for each non-zero.
C The JA array holds the offsets into the IA, A arrays for the
C beginning of each column. That is, IA(JA(ICOL)),
C A(JA(ICOL)) points to the beginning of the ICOL-th column in
C IA and A. IA(JA(ICOL+1)-1), A(JA(ICOL+1)-1) points to the
C end of the ICOL-th column. Note that we always have
C JA(N+1) = NELT+1, where N is the number of columns in the
C matrix and NELT is the number of non-zeros in the matrix.
C
C Here is an example of the SLAP Column storage format for a
C 5x5 Matrix (in the A and IA arrays '|' denotes the end of a
C column):
C
C 5x5 Matrix SLAP Column format for 5x5 matrix on left.
C 1 2 3 4 5 6 7 8 9 10 11
C |11 12 0 0 15| A: 11 21 51 | 22 12 | 33 53 | 44 | 55 15 35
C |21 22 0 0 0| IA: 1 2 5 | 2 1 | 3 5 | 4 | 5 1 3
C | 0 0 33 0 35| JA: 1 4 6 8 9 12
C | 0 0 0 44 0|
C |51 0 53 0 55|
C
C***REFERENCES (NONE)
C***ROUTINES CALLED (NONE)
C***REVISION HISTORY (YYMMDD)
C 871119 DATE WRITTEN
C 881213 Previous REVISION DATE
C 890915 Made changes requested at July 1989 CML Meeting. (MKS)
C 890922 Numerous changes to prologue to make closer to SLATEC
C standard. (FNF)
C 890929 Numerous changes to reduce SP/DP differences. (FNF)
C 910411 Prologue converted to Version 4.0 format. (BAB)
C 920511 Added complete declaration section. (WRB)
C 930701 Updated CATEGORY section. (FNF, WRB)
C***END PROLOGUE SS2LT