SPBDI(3)

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

NAME
spbdi - Compute the determinant of a symmetric positive definite band matrix using the factors computed by SPBCO or SPBFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D3B2

TYPE
SINGLE PRECISION (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
SPBDI computes the determinant of a real symmetric positive definite band matrix using the factors computed by SPBCO or SPBFA. If the inverse is needed, use SPBSL N times. On Entry ABD REAL(LDA, N) the output from SPBCO or SPBFA. 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)