cspdi.f
SUBROUTINE CSPDI (AP, N, KPVT, DET, WORK, JOB)
C***BEGIN PROLOGUE CSPDI
C***PURPOSE Compute the determinant and inverse of a complex symmetric
C matrix stored in packed form using the factors from CSPFA.
C***LIBRARY SLATEC (LINPACK)
C***CATEGORY D2C1, D3C1
C***TYPE COMPLEX (SSPDI-S, DSPDI-D, CHPDI-C, CSPDI-C)
C***KEYWORDS DETERMINANT, INVERSE, LINEAR ALGEBRA, LINPACK, MATRIX,
C PACKED, SYMMETRIC
C***AUTHOR Bunch, J., (UCSD)
C***DESCRIPTION
C
C CSPDI computes the determinant and inverse
C of a complex symmetric matrix using the factors from CSPFA,
C where the matrix is stored in packed form.
C
C On Entry
C
C AP COMPLEX (N*(N+1)/2)
C the output from CSPFA.
C
C N INTEGER
C the order of the matrix A .
C
C KVPT INTEGER(N)
C the pivot vector from CSPFA.
C
C WORK COMPLEX(N)
C work vector. Contents ignored.
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 AP contains the upper triangle of the inverse of
C the original matrix, stored in packed form.
C The columns of the upper triangle are stored
C sequentially in a one-dimensional array.
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 will occur if the inverse is requested
C and CSPCO has set RCOND .EQ. 0.0
C or CSPFA 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 CSPDI