*DECK CPBDI SUBROUTINE CPBDI (ABD, LDA, N, M, DET) C***BEGIN PROLOGUE CPBDI C***PURPOSE Compute the determinant of a complex Hermitian positive C definite band matrix using the factors computed by CPBCO or C CPBFA. C***LIBRARY SLATEC (LINPACK) C***CATEGORY D3D2 C***TYPE COMPLEX (SPBDI-S, DPBDI-D, CPBDI-C) C***KEYWORDS BANDED, DETERMINANT, INVERSE, LINEAR ALGEBRA, LINPACK, C MATRIX, POSITIVE DEFINITE C***AUTHOR Moler, C. B., (U. of New Mexico) C***DESCRIPTION C C CPBDI computes the determinant C of a complex Hermitian positive definite band matrix C using the factors computed by CPBCO or CPBFA. C If the inverse is needed, use CPBSL N times. C C On Entry C C ABD COMPLEX(LDA, N) C the output from CPBCO or CPBFA. C C LDA INTEGER C the leading dimension of the array ABD . C C N INTEGER C the order of the matrix A . C C M INTEGER C the number of diagonals above the main diagonal. C C On Return C C DET REAL(2) C determinant of original matrix in the form C determinant = DET(1) * 10.0**DET(2) C with 1.0 .LE. DET(1) .LT. 10.0 C or DET(1) .EQ. 0.0 . 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 (NONE) C***REVISION HISTORY (YYMMDD) C 780814 DATE WRITTEN C 890831 Modified array declarations. (WRB) C 890831 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 CPBDI