有理矩阵有理对角化问题的算法及程序设计研究报告  

The Report on Rational Matrix Rational Diagonalization Algorithm and Program Design

作　　者：周腾锦[1] 王纯[1] 

机构地区：[1]韩山师范学院数学与应用数学系,潮州521041

出　　处：《价值工程》2013年第22期237-240,共4页Value Engineering

基　　金：2012年国家大学生创新创业训练项目论文;项目名称:有理矩阵有理对角化问题的算法及程序设计研究;项目编号:1057812034

摘　　要：矩阵对角化是重要的数学方法,但因其计算复杂却造成了应用上的极大困难,虽然已有的数学软件具有处理对角化功能,但对有理矩阵在有理数域上的对角化问题的计算结果却不尽人意。所以提出了研究有理矩阵在有理数域上相似对角化、合同对角化以及正交对角化的算法与程序课题,设计出能够实现有理矩阵在有理数域上对角化的实用软件,解决了有理矩阵在有理数域上对角化的精确判定与计算问题。Matrix is an important mathematical method of diagonalization,but because of its computational complexity,it has caused great difficulties on the application,The mathematical software has the function of processing of diagonalization,but for rational matrix diagonalization problem in the field of rational number the result is not satisfactory.So the study of rational matrix over the rational number field similarity diagonalization diagonalization,contract and orthogonal diagonalization algorithm and program project,design to realize rational matrices over the field of rational numbers on the diagonalization of utility software,solves the rational matrices over the field of rational numbers on the diagonalization of the accurate determination and computation problem.

关 键 词：有理矩阵 有理对角化 算法 程序 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论]