Metodo Jacobi

3x1 – x2 – x3 = 1
3x1 + 6x2 + 2x3 = 0
3x1 – 3x2 + 7x3 = 3 x1 = (1+x2+x3)/3
x2 = (-3x1 - 2x3)/6
x3 = (3 -3x1 + 3x2)/7

x1 x2 x3
1 0.3333 0 0.4286
2 0.4762 -0.3095 0.2857
3 0.3254 -0.3333 0.09184
4 0.2528-0.1933 0.1463
5 0.3176 -0.1752 0.2374
6 0.3541 -0.2379 0.2174
7 0.3265 -0.2495 0.1749
8 0.3085 -0.2215 0.18179 0.3201 -0.2148 0.2014
10 0.3289 -0.2272 0.1993
11 0.3241 -0.2309 0.1903
12 0.3198 -0.2254 0.1907
130.3218 -0.2235 0.1949
14 0.3238 -0.2258 0.1949
15 0.3230 -0.2269 0.1930
16 0.3220 -0.2258 0.1929
17 0.3224-0.2253 0.1938
18 0.3228 -0.2258 0.1939
19 0.3227 -0.2260 0.1935
20 0.3225 -0.2258 0.1934
21 0.3225 -0.22570.1936
22 0.3226 -0.2258 0.1936
23 0.3226 -0.2258 0.1935
24 0.3226 -0.2258 0.1935

10x1 – x2 = 0-x1 + 10x2 - 2x3 = 7
- 2x2 + 10x3 = 6 x1 = x2/10
x2 = (7 + x1 +2x3)/10
x3 = (6+2x2)/10

x1 x2 x3
10 0 0
2 0.97 0.91 0.74
3 0.991 0.945 0.782
4 0.9945 0.9555 0.789
5 0.99555 0.95725 0.7911
6 0.9957250.957775 0.79145
7 0.995778 0.957863 0.791555
8 0.995786 0.957888 0.791572
9 0.995788 0.957893 0.791577