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SUBROUTINE SPPSL(AP,N,B) INTEGER N REAL AP(1),B(1) C C SPPSL SOLVES THE REAL SYMMETRIC POSITIVE DEFINITE SYSTEM C A * X = B C USING THE FACTORS COMPUTED BY SPPCO OR SPPFA. C C ON ENTRY C C AP REAL (N*(N+1)/2) C THE OUTPUT FROM SPPCO OR SPPFA. C C N INTEGER C THE ORDER OF THE MATRIX A . C C B REAL(N) C THE RIGHT HAND SIDE VECTOR. C C ON RETURN C C B THE SOLUTION VECTOR X . C C ERROR CONDITION C C A DIVISION BY ZERO WILL OCCUR IF THE INPUT FACTOR CONTAINS C A ZERO ON THE DIAGONAL. TECHNICALLY THIS INDICATES C SINGULARITY BUT IT IS USUALLY CAUSED BY IMPROPER SUBROUTINE C ARGUMENTS. IT WILL NOT OCCUR IF THE SUBROUTINES ARE CALLED C CORRECTLY AND INFO .EQ. 0 . C C TO COMPUTE INVERSE(A) * C WHERE C IS A MATRIX C WITH P COLUMNS C CALL SPPCO(AP,N,RCOND,Z,INFO) C IF (RCOND IS TOO SMALL .OR. INFO .NE. 0) GO TO ... C DO 10 J = 1, P C CALL SPPSL(AP,N,C(1,J)) C 10 CONTINUE C C LINPACK. THIS VERSION DATED 08/14/78 . C CLEVE MOLER, UNIVERSITY OF NEW MEXICO, ARGONNE NATIONAL LAB. C C SUBROUTINES AND FUNCTIONS C C BLAS SAXPY,SDOT C