与pde数值解相关的线性代数方程组求解

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1、目录怪l引言....................................................................……，............……，.....................·...........……，..…1夸2线性代数方程组求解的直接法...........................................................................................……3犯.1线代数方程组扰动理论—条件数..................……，.....……，...........

2、........................……4犯.2GausS消去法................................................···························································……13夸2.1.1Gauss顺序消去法计算公式.........................................................................……13壮.2.2Gauss消去法的存储量与计算量...............................

3、..................................……13牡.2.3列主元Gauss消去法的算法..…，................................................................……巧犯.2.4列主元Gauss消去法浮点舍入误差分析...................……，....……甲..............……17犯2.5列主元Gauss消去法解一个Poisson问题................……，.........................……22夸2.3对称正定矩阵的平方根法.........

4、............................................................................……23牡.3.1cholesky(乔莱斯基)分解…，...................................……，...............................……2392.4解三对角方程组的追赶法二，.........·········································································……25犯:41追赶法能进行的充分条件....

5、......................................................................……25犯.4.2追赶法的过程..……，.…，...................··..······································，··················……2692.4.3追赶法的数值算例......……，二，..............······················································一27犯.5直接法小结......……，........

6、.......................……，..························································……27那线性代数方程组求解的基本迭代法.............................................................................……，二28朴.1迭代格式..........……，.....................................................................··........············

7、·····……29妇.2收敛性分析.....……，....................................................……，.·····································……29妇，3Jacobi迭代法................................................·.····························