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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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(lib 'matrix) ;; the matrix library provides LU-decomposition
(decimals 5)
(define A (list->array' (1 3 5 2 4 7 1 1 0 ) 3 3))
(define PLU (matrix-lu-decompose A)) ;; -> list of three matrices, P, Lower, Upper
(array-print (first PLU))
0 1 0
1 0 0
0 0 1
(array-print (second PLU))
1 0 0
0.5 1 0
0.5 -1 1
(array-print (caddr PLU))
2 4 7
0 1 1.5
0 0 -2
(define A (list->array '(11 9 24 2 1 5 2 6 3 17 18 1 2 5 7 1 ) 4 4))
(define PLU (matrix-lu-decompose A)) ;; -> list of three matrices, P, Lower, Upper
(array-print (first PLU))
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
(array-print (second PLU))
1 0 0 0
0.27273 1 0 0
0.09091 0.2875 1 0
0.18182 0.23125 0.0036 1
(array-print (caddr PLU))
11 9 24 2
0 14.54545 11.45455 0.45455
0 0 -3.475 5.6875
0 0 0 0.51079