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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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46
Task/Cholesky-decomposition/XPL0/cholesky-decomposition.xpl0 Normal file
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real L(4*4);
func real Cholesky(A, N);
real A; int N;
real S;
int I, J, K;
[for I:= 0 to N*N-1 do L(I):= 0.;
for I:= 0 to N-1 do
for J:= 0 to I do
[S:= 0.;
for K:= 0 to J-1 do
S:= S + L(I*N+K) * L(J*N+K);
L(I*N+J):= if I = J then sqrt(A(I*N+I) - S)
else (1.0 / L(J*N+J) * (A(I*N+J) - S));
];
return L;
];
proc ShowMatrix(A, N);
real A; int N;
int I, J;
[for I:= 0 to N-1 do
[for J:= 0 to N-1 do
RlOut(0, A(I*N+J));
CrLf(0);
];
];
int N;
real M1, C1, M2, C2;
[N:= 3;
M1:= [25., 15., -5.,
15., 18., 0.,
-5., 0., 11.];
C1:= Cholesky(M1, N);
ShowMatrix(C1, N);
CrLf(0);
N:= 4;
M2:= [18., 22., 54., 42.,
22., 70., 86., 62.,
54., 86., 174., 134.,
42., 62., 134., 106.];
C2:= Cholesky(M2, N);
ShowMatrix(C2, N);
]