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dppsl (3)
  • >> dppsl (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         dppsl - solve the linear system Ax = b for a symmetric posi-
         tive  definite  matrix  A  in packed storage, which has been
         Cholesky-factored by xPPCO or xPPFA, and vectors b and x.
    
    SYNOPSIS
         SUBROUTINE DPPSL (DA, N, DB)
    
         SUBROUTINE SPPSL (SA, N, SB)
    
         SUBROUTINE ZPPSL (ZA, N, ZB)
    
         SUBROUTINE CPPSL (CA, N, CB)
    
    
    
         #include <sunperf.h>
    
         void dppsl(double *dap, int n, double *b) ;
    
         void sppsl(float *sap, int n, float *b) ;
    
         void cppsl(complex *cap, int n, complex *b) ;
    
         void zppsl(doublecomplex *zap, int n, doublecomplex *b) ;
    
    ARGUMENTS
         xA        Cholesky factorization of the matrix  A,  as  com-
                   puted by xPPCO or xPPFA.
    
         N         Order of the matrix A.  N >= 0.
    
         xB        On entry, the right-hand side vector b.  On  exit,
                   the solution vector x.
    
    SAMPLE PROGRAM
               PROGRAM TEST
               IMPLICIT NONE
         C
               INTEGER           LENGTA, N
               PARAMETER        (N = 4)
               PARAMETER        (LENGTA = (N * N + N) / 2)
         C
               DOUBLE PRECISION  A(LENGTA), B(N), RCOND, WORK(N)
               INTEGER           INFO
         C
               EXTERNAL          DPPCO, DPPSL
         C
         C     Initialize the array A to store in packed symmetric storage
         C     mode the matrix A shown below.  Initialize the array B to store
         C     the matrix B shown below.
         C
         C         4  3  2  1        20
         C     A = 3  4  3  2    b = 20
         C         2  3  4  3        20
         C         1  2  3  4        20
         C
               DATA A / 4.0D0, 3.0D0, 4.0D0, 2.0D0, 3.0D0, 4.0D0,
              $         1.0D0, 2.0D0, 3.0D0, 4.0D0 /
               DATA B / 4*2.0D1 /
         C
               PRINT 1000
               PRINT 1010, A(1), A(2), A(4), A(7)
               PRINT 1010, A(2), A(3), A(5), A(8)
               PRINT 1010, A(4), A(5), A(6), A(9)
               PRINT 1010, A(7), A(8), A(9), A(10)
               PRINT 1020
               PRINT 1030, B
               CALL DPPCO (A, N, RCOND, WORK, INFO)
               IF ((RCOND + 1.0D0) .EQ. RCOND) THEN
                 PRINT 1040
               END IF
               CALL DPPSL (A, N, B)
               PRINT 1050
               PRINT 1030, B
         C
          1000 FORMAT (1X, 'A in full form:')
          1010 FORMAT (5(3X, F7.3))
          1020 FORMAT (/1X, 'b:')
          1030 FORMAT (3X, F7.3)
          1040 FORMAT (1X, 'A may be singular to working precision.')
          1050 FORMAT (/1X, 'A**(-1) * b:')
         C
               END
    
    SAMPLE OUTPUT
          A in full form:
              4.000     3.000     2.000     1.000
              3.000     4.000     3.000     2.000
              2.000     3.000     4.000     3.000
              1.000     2.000     3.000     4.000
    
          b:
             20.000
             20.000
             20.000
             20.000
    
          A**(-1) * b:
              4.000
              0.000
              0.000
              4.000
    
    


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