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基于MATLAB的Cholesky分解法解线性方程组
引用本文:张错玲.基于MATLAB的Cholesky分解法解线性方程组[J].长春师范学院学报,2014(5):4-8.
作者姓名:张错玲
作者单位:安徽三联学院计算机科学与技术系,安徽合肥,230601
摘    要:本文首先介绍什么是Cholesky分解及分解注意的事项,然后对Cholesky分解算法进行描述,重点介绍如何用Cholesky分解法及改进的平方根法解线性方程组Ax=b,对两种算法进行了比较,针对实例分别用MATLAB程序实现,最后进行总结并对此课题未来研究作出展望。

关 键 词:对称正定矩阵  Cholesky分解  改进平方根法  MATLAB

Cholesky Decomposition Method for Solving Linear Equations Based on MATLAB
ZHANG Cuo-ling.Cholesky Decomposition Method for Solving Linear Equations Based on MATLAB[J].Journal of Changchun Teachers College,2014(5):4-8.
Authors:ZHANG Cuo-ling
Institution:ZHANG Cuo - ling (Anhui Sanlian College, Hefei Anhui 230601, China)
Abstract:This paper first introduces what is the Cholesky decomposition and its matters that needs to be attended,and then it describes the Cholesky decomposition algorithm focusing on introducing how to use Cholesky decomposition method to improve the square root linear equations Ax = b.By comparing the two algorithms and through real cases with MATLAB program,the paper summarizes the study and puts forwards the future research prospects.
Keywords:Symmetric positive definite matrix  Cholesky decomposition  Improved square root method  MATLAB
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