数值分析上机实验(精简版)

数值分析上机实验(精简版)

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时间:2018-10-28

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1、o言1-6.语++iccV••••••师言件'语软:>:^g:#:导用用学专姓学指使使2013年12月20日第一题:列主元素法求方程组根1.题目12.384122.115237-1.0610741.112336-0.1135840.7187191.7423823.067813-2.0317432.11523719.141823-3.125432-1.0123452.1897361.563849-0.7841651.1123483.123124-1.061074-3.12543215.5679143.1238482.0314541.836

2、742-1.0567810.336993-1.0101031.112336-1.0123453.12384827.1084374.101011-3.7418562.101023-0.71828-0.037585-0.1135842.1897362.0314544.10101119.8979180.431637-3.1112232.1213141.7843170.7187191.5638491.836742-3.7418560.4316379.789365-0.103458-1.1034560.2384171.742382-0.78416

3、5-1.0567812.101023-3.111223-0.10345814.71384653.123789-2.2134743.0678131.1123480.336993-0.718282.121314-1.1034563.12378930.7193344.446782-2.0317433.123124-1.010103-0.0375851.7843170.238417-2.2134744.44678240.00001/?=(2.187436933.992318-25.1734170.846716951.784317-86.6123

4、431.11012304.719345-5.6784392)用列主元消去法求解Ax=bo2.理论依据和应用条件:所谓列主元消去法是,对矩阵作恰当的调整,选取绝对值最大的元素作为主元素。然后把矩阵化为上三角阵,再进行回代,求出方程的解。本题采用宏定义将其一般化了,对于类似的方程都可以运用此法求解。3.计算程序:#include#include#defineN9/*宏定义N=9*/voidmain0{intn,t,k,i,j;doublem,h,x【N],A【N][N+l]=/*A和b合并成A[N][N+1

5、]*/{{12.38412,2.115237,•1.061074,1.112336,-0.113584,0.718719,1.74238,3.067813,-2.031743,2.1874369},{2.115237,19.141823,-3.125432,-1.012345,2.189736,1.563849,-0.784165,1.112348,3.123124,33.992318},{-1.061074,-3.125432,15.567914,3.123848,2.031454,1.836742,-1.056781,0.33699

6、3,-1.010103,-25.173417},{1.112336,-1.012345,3.123848,27.108437,4.101011,-3.741856,2.101023,-0.71828,•0.037585,0.84671695},f0.113584,2.189736,2.031454,4.101011,19.897918,0.431637,-3.111223,2.121314,1.784317,1.784317},{0.71819,1.563849,1.836742,-3.741856,0.431637,9.789365,

7、-0.103458,-1.10356,0.238417,-86.612343},{1.742382,-0.784165,-1.056781,2.101023,-3.111223,-0.103458,14.7138465,3.123789,-2.213474,1.1101230},{3.067813,1.112348,0.336993,-0.71828,2.121314,-1.103456,3.123789,30.719334,4.446782,4.719345},{-2.031743,3.123124,-1.010103,-0.0375

8、85,1.784317,0.238417,-2.213474,4.446782,40.00001,-5.6784392}};n=N:n=n-1;for(k=0;k

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