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64 lines
1.7 KiB
Fortran
64 lines
1.7 KiB
Fortran
*DECK SOSSOL
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SUBROUTINE SOSSOL (K, N, L, X, C, B, M)
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C***BEGIN PROLOGUE SOSSOL
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C***SUBSIDIARY
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C***PURPOSE Subsidiary to SOS
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C***LIBRARY SLATEC
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C***TYPE SINGLE PRECISION (SOSSOL-S, DSOSSL-D)
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C***AUTHOR (UNKNOWN)
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C***DESCRIPTION
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C
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C SOSSOL solves an upper triangular type of linear system by back
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C substitution.
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C
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C The matrix C is upper trapezoidal and stored as a linear array by
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C rows. The equations have been normalized so that the diagonal
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C entries of C are understood to be unity. The off diagonal entries
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C and the elements of the constant right hand side vector B have
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C already been stored as the negatives of the corresponding equation
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C values.
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C with each call to SOSSOL a (K-1) by (K-1) triangular system is
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C resolved. For L greater than K, column L of C is included in the
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C right hand side vector.
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C
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C***SEE ALSO SOS
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C***ROUTINES CALLED (NONE)
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C***REVISION HISTORY (YYMMDD)
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C 801001 DATE WRITTEN
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C 890831 Modified array declarations. (WRB)
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C 891214 Prologue converted to Version 4.0 format. (BAB)
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C 900328 Added TYPE section. (WRB)
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C***END PROLOGUE SOSSOL
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C
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C
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DIMENSION X(*), C(*), B(*)
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C
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C***FIRST EXECUTABLE STATEMENT SOSSOL
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NP1 = N + 1
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KM1 = K - 1
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LK = KM1
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IF (L .EQ. K) LK = K
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KN = M
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C
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C
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DO 40 KJ=1,KM1
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KMM1 = K - KJ
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KM = KMM1 + 1
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XMAX = 0.
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KN = KN - NP1 + KMM1
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IF (KM .GT. LK) GO TO 20
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JKM = KN
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C
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DO 10 J=KM,LK
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JKM = JKM + 1
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XMAX = XMAX + C(JKM)*X(J)
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10 CONTINUE
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C
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20 IF (L .LE. K) GO TO 30
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JKM = KN + L - KMM1
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XMAX = XMAX + C(JKM)*X(L)
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30 X(KMM1) = XMAX + B(KMM1)
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40 CONTINUE
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C
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RETURN
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END
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