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1、第一題:1、已知A與b2」15237-1.0610741.112336?0」135840.7187191.7423823.067813?2.03174319.141823-3.125432-1.0123452.1897361.563849-0.7841651.1123483.123124?3.12543215.5679143」238482.0314541.836742-1.0567810.336993-1.010103-1.0123453.12384827.1084374.101011-3.7418562.101023-0.71828-0.0375852.1897362.031
2、4544.10101119.8979)80.431637-3.1112232.1213141.7843171.5638491.836742-3.7418560.4316379.789365-0.103458-1.1034560.238417-0.784165-1.0567812.101023-3.111223-0.10345814.71384653.123789-2.2134741.1123480336993-0.718282.121314-1.1034563.12378930.7193344.4467823.123124-1.010103-0.0375851.7843170.
3、238417-2.2134744.44678240.00001_33.992318-25.1734170.846716951.784317-86.6123431.11012304.719345-5.6784392]12.384122」15237-1.0610741.112336A=-0.1135840.7187191.7423823.067813-2.031743B=[2.1874369(1)用Househloser變換，把A化為三對(duì)角陣(并打印B)。(2)用超松弛法求解Bx二b(取松弛因To=1.4,x(0)=0,迭代9次)。(3)用列主元素消去法求解Bx=bo一、分析如下：
4、(3)用列主元素消去法求解Bx=bo將方陣A和向量b寫(xiě)成C=(Ab)o將C的第1列屮第1行的元素與其下而的此列的元索逐一進(jìn)行比較，找到最大的元素勺，將第j行的元素與第1行的元索進(jìn)行交換，然后通過(guò)行變換，將第1列中第2到第n個(gè)元索都消成0。將變換后的矩陣C⑴的第二列屮第二行的元素與其下而的此列的元素逐一進(jìn)行比較，找到最大的元素計(jì)；)，將第k行的元素與第2行的元素進(jìn)行交換，然后通過(guò)行變換,將第2列中第3到第n個(gè)元索都消成0o以此方法將矩陣的左下部分全都消成Oo最終形式如S：(Ab)二、程序：#include"math.h"#includc"stdio.h"http://definege8vo
5、idmain()0■■0卅)nn/*標(biāo)準(zhǔn)的基木庫(kù)函數(shù)頭文件*/doublet[9][9]=/*數(shù)組賦初值*/{{12.38412,2.115237,J.061074,1.112336,0113584,0.718719,1.742382,3.067813,2031743},{2.115237,19.141823,-3.125432,-1.012345,2.189736,1.563849,-0.784165,1.112348,3.123124},{-1.061074,-3.125432,15.567914,3.123848,2.031454,1.836742,-1.056781,0
6、336993,-1.010103},{1.112336,-1.012345,3.123848,27.108437,4.101011,-3.741856,2.101023,-0.7182&?0.037585}，{-0.113584,2.189736,2.031454,4.101011,19.897918,0.431637,-3.111223,2.121314,1.784317},{0.718719,1.563849,1.836742,-3.741856,0.431637,9.789365,-0.103458,-1.103456,0.238417},{1.742382,-0.784
7、165,-1.056781,2.101023,-3.111223,-0.103458,14.713846,3.123789,2213474},{3.067813,1.112348,0.336993,-0.71828,2.121314,-1J03456,3.123789,30.719334,4.446782}{?2.031743,3.123124,-1.010103,-0.037585,1.784317,0.238417,-2.213474,4.446782,40.00001}}；double
