SUBROUTINE DPBDI(ABD,LDA,N,M,DET) C***BEGIN PROLOGUE DPBDI C***DATE WRITTEN 780814 (YYMMDD) C***REVISION DATE 820801 (YYMMDD) C***CATEGORY NO. D3B2 C***KEYWORDS BANDED,DETERMINANT,DOUBLE PRECISION,FACTOR,INVERSE, C LINEAR ALGEBRA,LINPACK,MATRIX,POSITIVE DEFINITE C***AUTHOR MOLER, C. B., (U. OF NEW MEXICO) C***PURPOSE Computes the determinant of a d.p. SYMMETRIC POSITIVE C DEFINITE BAND matrix using factors of DPBCO or DPBFA. C Use DPBSL N times for inverse. C***DESCRIPTION C C DPBDI computes the determinant C of a double precision symmetric positive definite band matrix C using the factors computed by DPBCO or DPBFA. C If the inverse is needed, use DPBSL N times. C C On Entry C C ABD DOUBLE PRECISION(LDA, N) C the output from DPBCO or DPBFA. 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 DOUBLE PRECISION(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 LINPACK. This version dated 08/14/78 . C Cleve Moler, University of New Mexico, Argonne National Lab. C***REFERENCES DONGARRA J.J., BUNCH J.R., MOLER C.B., STEWART G.W., C *LINPACK USERS GUIDE*, SIAM, 1979. C***ROUTINES CALLED (NONE) C***END PROLOGUE DPBDI