SGBDI(3)

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

NAME
sgbdi - Compute the determinant of a band matrix using the factors computed by SGBCO or SGBFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D3A2

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

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

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

DESCRIPTION
SGBDI computes the determinant of a band matrix using the factors computed by SBGCO or SGBFA. If the inverse is needed, use SGBSL N times. On Entry ABD REAL(LDA, N) the output from SBGCO or SGBFA. 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 SBGCO or SGBFA. 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)
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)