有理矩阵有理合同对角化的计算机实现  

Computerized Realization of Rational Matrix Contract Diagonalization

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,广东潮州521041

出　　处：《韩山师范学院学报》2013年第3期12-18,共7页Journal of Hanshan Normal University

基　　金：2012年国家大学生创新创业训练项目(项目编号:1057812034)

摘　　要：有理矩阵在有理数域上合同对角化问题计算复杂,人工计算浪费时间,并且当矩阵的阶数较高时计算量就非常之大.然而已有的数学软件却不能精确解决有理矩阵在有理数域的合同对角化问题.根据矩阵合同对角化的一般方法,设计出有理矩阵在有理数域上合同对角化的算法及相应的C语言程序,并给出了计算实例.Rational matrices over the field of rational numbers on contract diagonalization is complex, and manual calculation is a waste of time. And when the matrix order gets higher, computation is very big. However, the existing mathematical software has no such function. According to the general method for diagonalization of matrix contract, a rational matrices is designed over the field of rational numbers on congruent diagonalization algorithm and the corresponding C language program, and calculation examples are given.

关 键 词：有理矩阵 有理合同对角化 算法 程序 

分 类 号：O151.21[理学—数学]