sgbdi.f
SUBROUTINE SGBDI (ABD, LDA, N, ML, MU, IPVT, DET)
C***BEGIN PROLOGUE SGBDI
C***PURPOSE Compute the determinant of a band matrix using the factors
C computed by SGBCO or SGBFA.
C***LIBRARY SLATEC (LINPACK)
C***CATEGORY D3A2
C***TYPE SINGLE PRECISION (SGBDI-S, DGBDI-D, CGBDI-C)
C***KEYWORDS BANDED, DETERMINANT, INVERSE, LINEAR ALGEBRA, LINPACK,
C MATRIX
C***AUTHOR Moler, C. B., (U. of New Mexico)
C***DESCRIPTION
C
C SGBDI computes the determinant of a band matrix
C using the factors computed by SBGCO or SGBFA.
C If the inverse is needed, use SGBSL N times.
C
C On Entry
C
C ABD REAL(LDA, N)
C the output from SBGCO or SGBFA.
C
C LDA INTEGER
C the leading dimension of the array ABD .
C
C N INTEGER
C the order of the original matrix.
C
C ML INTEGER
C number of diagonals below the main diagonal.
C
C MU INTEGER
C number of diagonals above the main diagonal.
C
C IPVT INTEGER(N)
C the pivot vector from SBGCO or SGBFA.
C
C On Return
C
C DET REAL(2)
C determinant of original matrix.
C Determinant = DET(1) * 10.0**DET(2)
C with 1.0 .LE. ABS(DET(1)) .LT. 10.0
C or DET(1) = 0.0 .
C
C***REFERENCES J. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W.
C Stewart, LINPACK Users' Guide, SIAM, 1979.
C***ROUTINES CALLED (NONE)
C***REVISION HISTORY (YYMMDD)
C 780814 DATE WRITTEN
C 890831 Modified array declarations. (WRB)
C 890831 REVISION DATE from Version 3.2
C 891214 Prologue converted to Version 4.0 format. (BAB)
C 900326 Removed duplicate information from DESCRIPTION section.
C (WRB)
C 920501 Reformatted the REFERENCES section. (WRB)
C***END PROLOGUE SGBDI