home *** CD-ROM | disk | FTP | other *** search
- SUBROUTINE SGBDI(ABD,LDA,N,ML,MU,IPVT,DET)
- INTEGER LDA,N,ML,MU,IPVT(1)
- REAL ABD(LDA,1),DET(2)
- C
- C SGBDI COMPUTES THE DETERMINANT OF A BAND MATRIX
- C USING THE FACTORS COMPUTED BY SGBCO 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 SGBCO 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 SGBCO 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 LINPACK. THIS VERSION DATED 08/14/78 .
- C CLEVE MOLER, UNIVERSITY OF NEW MEXICO, ARGONNE NATIONAL LAB.
- C
- C SUBROUTINES AND FUNCTIONS
- C
- C FORTRAN ABS
- C
- C INTERNAL VARIABLES
- C
- REAL TEN
- INTEGER I,M
- C
- C
- M = ML + MU + 1
- DET(1) = 1.0E0
- DET(2) = 0.0E0
- TEN = 10.0E0
- DO 50 I = 1, N
- IF (IPVT(I) .NE. I) DET(1) = -DET(1)
- DET(1) = ABD(M,I)*DET(1)
- C ...EXIT
- IF (DET(1) .EQ. 0.0E0) GO TO 60
- 10 IF (ABS(DET(1)) .GE. 1.0E0) GO TO 20
- DET(1) = TEN*DET(1)
- DET(2) = DET(2) - 1.0E0
- GO TO 10
- 20 CONTINUE
- 30 IF (ABS(DET(1)) .LT. TEN) GO TO 40
- DET(1) = DET(1)/TEN
- DET(2) = DET(2) + 1.0E0
- GO TO 30
- 40 CONTINUE
- 50 CONTINUE
- 60 CONTINUE
- RETURN
- END