CPPDI(3)

SYNOPSIS
SUBROUTINE CPPDI (AP, N, DET, JOB)

NAME
cppdi - Compute the determinant and inverse of a complex Hermitian positive definite matrix using factors from CPPCO or CPPFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D2D1B, D3D1B

TYPE
COMPLEX (SPPDI-S, DPPDI-D, CPPDI-C)

KEYWORDS
DETERMINANT, INVERSE, LINEAR ALGEBRA, LINPACK, MATRIX, PACKED, POSITIVE DEFINITE

AUTHOR
Moler, C. B., (U. of New Mexico)

DESCRIPTION
CPPDI computes the determinant and inverse of a complex Hermitian positive definite matrix using the factors computed by CPPCO or CPPFA . On Entry AP COMPLEX (N*(N+1)/2) the output from CPPCO or CPPFA. N INTEGER the order of the matrix A . JOB INTEGER = 11 both determinant and inverse. = 01 inverse only. = 10 determinant only. On Return AP the upper triangular half of the inverse . The strict lower triangle is unaltered. DET REAL(2) determinant of original matrix if requested. Otherwise not referenced. Determinant = DET(1) * 10.0**DET(2) with 1.0 .LE. DET(1) .LT. 10.0 or DET(1) .EQ. 0.0 . Error Condition A division by zero will occur if the input factor contains a zero on the diagonal and the inverse is requested. It will not occur if the subroutines are called correctly and if CPOCO or CPOFA has set INFO .EQ. 0 .

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

ROUTINES CALLED
CAXPY, CSCAL

REVISION HISTORY (YYMMDD)
780814 DATE WRITTEN
890831 Modified array declarations. (WRB)
890831 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)