SNBDI(3)

SYNOPSIS
SUBROUTINE SNBDI (ABE, LDA, N, ML, MU, IPVT, DET)

NAME
snbdi - Compute the determinant of a band matrix using the factors computed by SNBCO or SNBFA.

LIBRARY
SLATEC

CATEGORY
D3A2

TYPE
SINGLE PRECISION (SNBDI-S, DNBDI-D, CNBDI-C)

KEYWORDS
BANDED, DETERMINANT, LINEAR EQUATIONS, NONSYMMETRIC

AUTHOR
Voorhees, E. A., (LANL)

DESCRIPTION
SNBDI computes the determinant of a band matrix using the factors computed by SNBCO or SNBFA. If the inverse is needed, use SNBSL N times. On Entry ABE REAL(LDA, NC) the output from SNBCO or SNBFA. NC must be .GE. 2*ML+MU+1 . LDA INTEGER the leading dimension of the array ABE . 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 SNBCO or SNBFA. On Return DET REAL(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)
800725 DATE WRITTEN
890831 Modified array declarations. (WRB)
890831 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)
920501 Reformatted the REFERENCES section. (WRB)