?? out.txt
字號:
G-S迭代過程:
x[0] x[1] x[2]
1: 0 -0.5 0.6666667
2: -0.08333333 -0.2083333 0.8333333
3: 0.1041667 -0.03125 1.013889
4: 0.2378472 0.1258681 1.163194
5: 0.3537326 0.2584635 1.29022
6: 0.4517867 0.3710033 1.397931
7: 0.5349844 0.4664578 1.4893
8: 0.6055539 0.547427 1.566803
9: 0.6654141 0.6161084 1.632544
10: 0.7161901 0.6743669 1.688308
11: 0.7592604 0.7237842 1.73561
12: 0.7957945 0.765702 1.775733
13: 0.8267842 0.8012585 1.809767
14: 0.853071 0.8314191 1.838636
15: 0.8753686 0.8570025 1.863125
16: 0.8942824 0.8787035 1.883896
17: 0.9103259 0.8971112 1.901516
18: 0.9239346 0.9127253 1.916462
19: 0.9354781 0.9259699 1.929139
20: 0.9452698 0.9372045 1.939893
21: 0.9535755 0.9467342 1.949015
22: 0.9606208 0.9548177 1.956752
23: 0.9665969 0.9616745 1.963315
24: 0.9716661 0.9674907 1.968882
25: 0.975966 0.9724242 1.973605
26: 0.9796133 0.976609 1.97761
27: 0.9827071 0.9801588 1.981008
28: 0.9853315 0.9831699 1.98389
29: 0.9875575 0.985724 1.986335
30: 0.9894458 0.9878905 1.988409
31: 0.9910475 0.9897282 1.990168
32: 0.9924061 0.991287 1.99166
33: 0.9935585 0.9926093 1.992926
34: 0.9945361 0.9937309 1.993999
35: 0.9953652 0.9946823 1.99491
36: 0.9960686 0.9954893 1.995682
37: 0.9966652 0.9961738 1.996338
38: 0.9971713 0.9967545 1.996893
39: 0.9976006 0.997247 1.997365
40: 0.9979647 0.9976648 1.997765
41: 0.9982736 0.9980192 1.998104
42: 0.9985356 0.9983198 1.998392
43: 0.9987578 0.9985748 1.998636
44: 0.9989463 0.9987911 1.998843
45: 0.9991062 0.9989745 1.999018
46: 0.9992419 0.9991301 1.999167
47: 0.9993569 0.9992622 1.999294
48: 0.9994545 0.9993741 1.999401
49: 0.9995373 0.9994691 1.999492
50: 0.9996075 0.9995497 1.999569
51: 0.9996671 0.999618 1.999634
52: 0.9997176 0.999676 1.99969
53: 0.9997605 0.9997252 1.999737
54: 0.9997968 0.9997669 1.999777
55: 0.9998276 0.9998022 1.999811
56: 0.9998538 0.9998323 1.999839
57: 0.999876 0.9998577 1.999864
58: 0.9998948 0.9998793 1.999884
59: 0.9999108 0.9998976 1.999902
60: 0.9999243 0.9999132 1.999917
61: 0.9999358 0.9999263 1.999929
62: 0.9999455 0.9999375 1.99994
63: 0.9999538 0.999947 1.999949
64: 0.9999608 0.999955 1.999957
65: 0.9999668 0.9999619 1.999963
66: 0.9999718 0.9999677 1.999969
67: 0.9999761 0.9999726 1.999974
68: 0.9999797 0.9999767 1.999978
69: 0.9999828 0.9999803 1.999981
70: 0.9999854 0.9999833 1.999984
71: 0.9999876 0.9999858 1.999986
72: 0.9999895 0.999988 1.999988
73: 0.9999911 0.9999898 1.99999
74: 0.9999924 0.9999913 1.999992
75: 0.9999936 0.9999926 1.999993
76: 0.9999946 0.9999938 1.999994
77: 0.9999954 0.9999947 1.999995
78: 0.9999961 0.9999955 1.999996
79: 0.9999967 0.9999962 1.999996
80: 0.9999972 0.9999968 1.999997
81: 0.9999976 0.9999973 1.999997
82: 0.999998 0.9999977 1.999998
83: 0.9999983 0.999998 1.999998
84: 0.9999985 0.9999983 1.999998
85: 0.9999988 0.9999986 1.999999
86: 0.999999 0.9999988 1.999999
87: 0.9999991 0.999999 1.999999
88: 0.9999992 0.9999991 1.999999
89: 0.9999994 0.9999993 1.999999
90: 0.9999995 0.9999994 1.999999
91: 0.9999995 0.9999995 1.999999
用G-S迭代法計算方程組的解為:
x[0]=0.9999995
x[1]=0.9999995
x[2]=1.999999
迭代次數:91次
G-S迭代過程的運行時間為0.187秒!
SOR迭代過程:
x[0] x[1] x[2]
1: 0 -0.725 0.7491667
2: -0.2540521 -0.03979193 0.9516176
3: 0.4304357 0.294895 1.514881
4: 0.5692473 0.6532903 1.674954
5: 0.8246449 0.7932283 1.861637
6: 0.8788436 0.9048954 1.91177
7: 0.9535862 0.9451804 1.964278
8: 0.9681927 0.97571 1.977221
9: 0.9884457 0.9860389 1.99117
10: 0.9918769 0.9939916 1.994239
11: 0.997211 0.9965051 1.997866
12: 0.9979477 0.9985376 1.998555
13: 0.9993394 0.9991313 1.999491
14: 0.9994831 0.9996474 1.999638
15: 0.9998458 0.9997846 1.99988
16: 0.9998697 0.9999155 1.999909
17: 0.9999645 0.9999466 1.999972
18: 0.9999671 0.9999799 1.999977
19: 0.999992 0.9999867 1.999994
20: 0.9999916 0.9999952 1.999994
21: 0.9999982 0.9999967 1.999999
22: 0.9999979 0.9999989 1.999999
23: 0.9999996 0.9999992 2
24: 0.9999995 0.9999997 2
25: 0.9999999 0.9999998 2
26: 0.9999999 0.9999999 2
27: 1 0.9999999 2
28: 1 1 2
用SOR迭代法計算方程組的解為:
x[0]=1
x[1]=1
x[2]=2
迭代次數:28次
SOR迭代過程的運行時間為0.047秒!
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