CSIDI(3)

SYNOPSIS
SUBROUTINE CSIDI (A, LDA, N, KPVT, DET, WORK, JOB)

NAME
csidi - Compute the determinant and inverse of a complex symmetric matrix using the factors from CSIFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D2C1, D3C1

TYPE
COMPLEX (SSIDI-S, DSIDI-D, CHIDI-C, CSIDI-C)

KEYWORDS
DETERMINANT, INVERSE, LINEAR ALGEBRA, LINPACK, MATRIX, SYMMETRIC

AUTHOR
Bunch, J., (UCSD)

DESCRIPTION
CSIDI computes the determinant and inverse of a complex symmetric matrix using the factors from CSIFA. On Entry A COMPLEX(LDA,N) the output from CSIFA. LDA INTEGER the leading dimension of the array A . N INTEGER the order of the matrix A . KVPT INTEGER(N) the pivot vector from CSIFA. WORK COMPLEX(N) work vector. Contents destroyed. JOB INTEGER JOB has the decimal expansion AB where If B .NE. 0, the inverse is computed, If A .NE. 0, the determinant is computed, For example, JOB = 11 gives both. On Return Variables not requested by JOB are not used. A contains the upper triangle of the inverse of the original matrix. The strict lower triangle is never referenced. DET COMPLEX(2) determinant of original matrix. Determinant = DET(1) * 10.0**DET(2) with 1.0 .LE. ABS(DET(1)) .LT. 10.0 or DET(1) = 0.0. Error Condition A division by zero may occur if the inverse is requested and CSICO has set RCOND .EQ. 0.0 or CSIFA has set INFO .NE. 0 .

REFERENCES
J. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W. Stewart, LINPACK Users' Guide, SIAM, 1979.

ROUTINES CALLED
CAXPY, CCOPY, CDOTU, CSWAP

REVISION HISTORY (YYMMDD)
780814 DATE WRITTEN
890531 Changed all specific intrinsics to generic. (WRB)
890831 Modified array declarations. (WRB)
891107 Corrected category and modified routine equivalence list. (WRB)
891107 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)
900326 Removed duplicate information from DESCRIPTION section. (WRB)
920501 Reformatted the REFERENCES section. (WRB)