CPBDI(3)

SYNOPSIS
SUBROUTINE CPBDI (ABD, LDA, N, M, DET)

NAME
cpbdi - Compute the determinant of a complex Hermitian positive definite band matrix using the factors computed by CPBCO or CPBFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D3D2

TYPE
COMPLEX (SPBDI-S, DPBDI-D, CPBDI-C)

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

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

DESCRIPTION
CPBDI computes the determinant of a complex Hermitian positive definite band matrix using the factors computed by CPBCO or CPBFA. If the inverse is needed, use CPBSL N times. On Entry ABD COMPLEX(LDA, N) the output from CPBCO or CPBFA. LDA INTEGER the leading dimension of the array ABD . N INTEGER the order of the matrix A . M INTEGER the number of diagonals above the main diagonal. On Return DET REAL(2) determinant of original matrix in the form determinant = DET(1) * 10.0**DET(2) with 1.0 .LE. DET(1) .LT. 10.0 or DET(1) .EQ. 0.0 .

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

ROUTINES CALLED
(NONE)

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)