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NAME
     zsifa - compute the UDU factorization of a symmetric  matrix
     A.   It  is typical to follow a call to xSIFA with a call to
     xSISL to solve Ax = b or to  xSIDI  to  compute  the  deter-
     minant, inverse, and inertia of A.

SYNOPSIS
     SUBROUTINE DSIFA (DA, LDA, N, IPIVOT, INFO)

     SUBROUTINE SSIFA (SA, LDA, N, IPIVOT, INFO)

     SUBROUTINE ZSIFA (ZA, LDA, N, IPIVOT, INFO)

     SUBROUTINE CSIFA (CA, LDA, N, IPIVOT, INFO)



     #include <sunperf.h>

     void dsifa(double *da,  int  lda,  int  n,  int  *kpvt,  int
               *info);

     void ssifa(float *sa, int lda, int n, int *kpvt, int *info);

     void zsifa(doublecomplex *za, int lda, int n, int *kpvt, int
               *info);

     void csifa(complex *ca, int  lda,  int  n,  int  *kpvt,  int
               *info);

ARGUMENTS
     xA        On entry, the upper triangle of the matrix A.   On
               exit,  a  UDU  factorization of the matrix A.  The
               strict lower triangle of A is not referenced.

     LDA       Leading dimension of the array A as specified in a
               dimension or type statement.  LDA >= max(1,N).

     N         Order of the matrix A.  N >= 0.

     IPIVOT    On exit, a vector of pivot indices.

     INFO      On exit:
               INFO = 0  Subroutine completed normally.
               INFO > 0  Returns a value k if the kth pivot block
               is  singular  to indicate that xSISL or xSIDI will
               divide by zero if called.

SAMPLE PROGRAM
           PROGRAM TEST
           IMPLICIT NONE
     C
           INTEGER           LDA, N
           PARAMETER        (N = 4)
           PARAMETER        (LDA = N)
     C
           DOUBLE PRECISION  A(LDA,N), B(N)
           INTEGER           ICOL, INFO, IPIVOT(N), IROW
     C
           EXTERNAL          DSIFA, DSISL
     C
     C     Initialize the array A to store the matrix A shown below.
     C     Initialize the array B to store the vector B shown below.
     C
     C         -.5   -.5   -.5   -.5         6
     C     A = -.5  -1.5  -1.5  -1.5    b = 12
     C         -.5  -1.5  -2.5  -2.5         6
     C         -.5  -1.5  -2.5  -3.5        12
     C
           DATA A / -5.0D-1, 3*8D8, -5.0D-1, -1.5D0, 2*8D8, -5.0D-1,
          $         -1.5D0, -2.5D0, 8D8, -5.0D-1, -1.5D0, -2.5D0, -3.5D0 /
           DATA B / 6.0D0, 1.2D1, 6.0D0, 1.2D1 /
     C
           PRINT 1000
           DO 100, IROW = 1, N
             PRINT 1010, (A(ICOL,IROW), ICOL = 1, IROW),
          $              (A(IROW,ICOL), ICOL = IROW + 1, N)
       100 CONTINUE
           PRINT 1020
           PRINT 1010, ((A(IROW,ICOL), ICOL = 1, N), IROW = 1, N)
           PRINT 1030
           PRINT 1040, B
           CALL DSIFA (A, LDA, N, IPIVOT, INFO)
           IF (INFO .EQ. 0) THEN
             CALL DSISL (A, LDA, N, IPIVOT, B)
             PRINT 1050
             PRINT 1040, B
           ELSE
             PRINT 1060
           END IF
     C
      1000 FORMAT (1X, 'A in full form:')
      1010 FORMAT (4(3X, F5.1))
      1020 FORMAT (/1X, 'A in symmetric form:  (* in unused elements)')
      1030 FORMAT (/1X, 'b:')
      1040 FORMAT (3X, F5.1)
      1050 FORMAT (/1X, 'A**(-1) * b:')
      1060 FORMAT (/1X, 'A is too poorly conditioned.')
     C
           END

SAMPLE OUTPUT
      A in full form:
         -0.5    -0.5    -0.5    -0.5
         -0.5    -1.5    -1.5    -1.5
         -0.5    -1.5    -2.5    -2.5
         -0.5    -1.5    -2.5    -3.5

      A in symmetric form:  (* in unused elements)
         -0.5    -0.5    -0.5    -0.5
        *****    -1.5    -1.5    -1.5
        *****   *****    -2.5    -2.5
        *****   *****   *****    -3.5

      b:
          6.0
         12.0
          6.0
         12.0

      A**(-1) * b:
         -6.0
        -12.0
         12.0
         -6.0

Партнёры:

Хостинг: