DGBDI(3)

SYNOPSIS
SUBROUTINE DGBDI (ABD, LDA, N, ML, MU, IPVT, DET)

NAME
dgbdi - Compute the determinant of a band matrix using the factors computed by DGBCO or DGBFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D3A2

TYPE
DOUBLE PRECISION (SGBDI-S, DGBDI-D, CGBDI-C)

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

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

DESCRIPTION
DGBDI computes the determinant of a band matrix using the factors computed by DGBCO or DGBFA. If the inverse is needed, use DGBSL N times. On Entry ABD DOUBLE PRECISION(LDA, N) the output from DGBCO or DGBFA. LDA INTEGER the leading dimension of the array ABD . N INTEGER the order of the original matrix. ML INTEGER number of diagonals below the main diagonal. MU INTEGER number of diagonals above the main diagonal. IPVT INTEGER(N) the pivot vector from DGBCO or DGBFA. On Return DET DOUBLE PRECISION(2) determinant of original matrix. Determinant = DET(1) * 10.0**DET(2) with 1.0 .LE. ABS(DET(1)) .LT. 10.0 or DET(1) = 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
890531 Changed all specific intrinsics to generic. (WRB)
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)