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常用结构二次幂零矩阵的构造

发表时间:2018-10-15  浏览量:162  下载量:82
全部作者: 张承平
作者单位: 海南热带海洋学院海洋信息工程学院
摘 要: 结构二次幂零矩阵构造的迭代法迭代简单、收敛速度快,且具有良好的并行性,但结构二次幂零矩阵有很多种,其形式和结构复杂,对于不同的线性方程组采用不同的结构二次幂零矩阵,迭代收敛速度可能不同。为选择合适的结构二次幂零矩阵,本文给出了一些常见的结构二次幂零矩阵的结构形式,以供实际计算中挑选合适的结构二次幂零矩阵。对于形式复杂的线性方程组的矩阵,当挑选比较困难时,本文给出了查找结构二次幂零矩阵的算法及Matlab程序。
关 键 词: 计算数学;线性方程组;结构二次幂零矩阵;并行迭代法
Title: Constructing of common structural 2-nilpotent matrices
Author: ZHANG Chengping
Organization: School of Marine Information and Engineering, Hainan Tropical Ocean College
Abstract: The iterative method constructed by structural 2-nilpotent matrices is a simple iteration which has fast convergence and good parallelism. But there are many kinds of structural 2-nilpotent matrices, and their forms and structures are complex. So different structural 2-nilpotent matrices are adopted for different linear equations, and the convergence rates of the iterations may be different. In order to choose the best structural 2-nilpotent matrix, some common structures of the structural 2-nilpotent matrices are given in this paper to select a suitable structural 2-nilpotent matrix for the actual calculation. When the matrix of a complex linear equations group is difficult to be selected, the algorithms for searching structural 2-nilpotent matrices and Matlab programs are also given in this paper.
Key words: computational mathematics; linear equations; structural 2-nilpotent matrix; parallel iterative method
发表期数: 2018年10月第19期
引用格式: 张承平. 常用结构二次幂零矩阵的构造[J]. 中国科技论文在线精品论文,2018,11(19):1927-1933.
 
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