# csidi.f

          SUBROUTINE CSIDI (A, LDA, N, KPVT, DET, WORK, JOB)
    C***BEGIN PROLOGUE  CSIDI
    C***PURPOSE  Compute the determinant and inverse of a complex symmetric
    C            matrix using the factors from CSIFA.
    C***LIBRARY   SLATEC (LINPACK)
    C***CATEGORY  D2C1, D3C1
    C***TYPE      COMPLEX (SSIDI-S, DSIDI-D, CHIDI-C, CSIDI-C)
    C***KEYWORDS  DETERMINANT, INVERSE, LINEAR ALGEBRA, LINPACK, MATRIX,
    C             SYMMETRIC
    C***AUTHOR  Bunch, J., (UCSD)
    C***DESCRIPTION
    C
    C     CSIDI computes the determinant and inverse
    C     of a complex symmetric matrix using the factors from CSIFA.
    C
    C     On Entry
    C
    C        A       COMPLEX(LDA,N)
    C                the output from CSIFA.
    C
    C        LDA     INTEGER
    C                the leading dimension of the array A .
    C
    C        N       INTEGER
    C                the order of the matrix A .
    C
    C        KVPT    INTEGER(N)
    C                the pivot vector from CSIFA.
    C
    C        WORK    COMPLEX(N)
    C                work vector.  Contents destroyed.
    C
    C        JOB     INTEGER
    C                JOB has the decimal expansion  AB  where
    C                   If  B .NE. 0, the inverse is computed,
    C                   If  A .NE. 0, the determinant is computed,
    C
    C                For example, JOB = 11  gives both.
    C
    C     On Return
    C
    C        Variables not requested by JOB are not used.
    C
    C        A      contains the upper triangle of the inverse of
    C               the original matrix.  The strict lower triangle
    C               is never referenced.
    C
    C        DET    COMPLEX(2)
    C               determinant of original matrix.
    C               Determinant = DET(1) * 10.0**DET(2)
    C               with 1.0 .LE. ABS(DET(1)) .LT. 10.0
    C               or DET(1) = 0.0.
    C
    C     Error Condition
    C
    C        A division by zero may occur if the inverse is requested
    C        and  CSICO  has set RCOND .EQ. 0.0
    C        or  CSIFA  has set  INFO .NE. 0 .
    C
    C***REFERENCES  J. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W.
    C                 Stewart, LINPACK Users' Guide, SIAM, 1979.
    C***ROUTINES CALLED  CAXPY, CCOPY, CDOTU, CSWAP
    C***REVISION HISTORY  (YYMMDD)
    C   780814  DATE WRITTEN
    C   890531  Changed all specific intrinsics to generic.  (WRB)
    C   890831  Modified array declarations.  (WRB)
    C   891107  Corrected category and modified routine equivalence
    C           list.  (WRB)
    C   891107  REVISION DATE from Version 3.2
    C   891214  Prologue converted to Version 4.0 format.  (BAB)
    C   900326  Removed duplicate information from DESCRIPTION section.
    C           (WRB)
    C   920501  Reformatted the REFERENCES section.  (WRB)
    C***END PROLOGUE  CSIDI