CGBDI(3)

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

NAME
cgbdi - Compute the determinant of a complex band matrix using the factors from CGBCO or CGBFA.

LIBRARY
SLATEC (LINPACK)

CATEGORY
D3C2

TYPE
COMPLEX (SGBDI-S, DGBDI-D, CGBDI-C)

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

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

DESCRIPTION
CGBDI computes the determinant of a band matrix using the factors computed by CGBCO or CGBFA. If the inverse is needed, use CGBSL N times. On Entry ABD COMPLEX(LDA, N) the output from CGBCO or CGBFA. 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 CGBCO or CGBFA. On Return DET COMPLEX(2) determinant of original matrix. Determinant = DET(1) * 10.0**DET(2) with 1.0 .LE. CABS1(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)