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- SUBROUTINE SPBDI(ABD,LDA,N,M,DET)
- INTEGER LDA,N,M
- REAL ABD(LDA,1)
- REAL DET(2)
- C
- C SPBDI COMPUTES THE DETERMINANT
- C OF A REAL SYMMETRIC POSITIVE DEFINITE BAND MATRIX
- C USING THE FACTORS COMPUTED BY SPBCO OR SPBFA.
- C IF THE INVERSE IS NEEDED, USE SPBSL N TIMES.
- C
- C ON ENTRY
- C
- C ABD REAL(LDA, N)
- C THE OUTPUT FROM SPBCO OR SPBFA.
- C
- C LDA INTEGER
- C THE LEADING DIMENSION OF THE ARRAY ABD .
- C
- C N INTEGER
- C THE ORDER OF THE MATRIX A .
- C
- C M INTEGER
- C THE NUMBER OF DIAGONALS ABOVE THE MAIN DIAGONAL.
- C
- C ON RETURN
- C
- C DET REAL(2)
- C DETERMINANT OF ORIGINAL MATRIX IN THE FORM
- C DETERMINANT = DET(1) * 10.0**DET(2)
- C WITH 1.0 .LE. DET(1) .LT. 10.0
- C OR DET(1) .EQ. 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
- C INTERNAL VARIABLES
- C
- REAL S
- INTEGER I
- C
- C COMPUTE DETERMINANT
- C
- DET(1) = 1.0E0
- DET(2) = 0.0E0
- S = 10.0E0
- DO 50 I = 1, N
- DET(1) = ABD(M+1,I)**2*DET(1)
- C ...EXIT
- IF (DET(1) .EQ. 0.0E0) GO TO 60
- 10 IF (DET(1) .GE. 1.0E0) GO TO 20
- DET(1) = S*DET(1)
- DET(2) = DET(2) - 1.0E0
- GO TO 10
- 20 CONTINUE
- 30 IF (DET(1) .LT. S) GO TO 40
- DET(1) = DET(1)/S
- DET(2) = DET(2) + 1.0E0
- GO TO 30
- 40 CONTINUE
- 50 CONTINUE
- 60 CONTINUE
- RETURN
- END