实数域上矩阵函数方程的解

J4 ›› 2010, Vol. 45 ›› Issue (11): 67-72.

实数域上矩阵函数方程的解

程学汉,邹青

鲁东大学数学与信息学院, 山东烟台 264025

收稿日期:2009-05-19 出版日期:2010-11-16 发布日期:2010-11-24
作者简介:程学汉(1972-),男,讲师,博士,研究方向为矩阵论. Email: chengxuehan@126.com
基金资助:
鲁东大学校资金资助项目(LY20062704)

Solutions of a matrix function equation on the real field

CHENG Xue-han, ZOU Qing

School of Mathematics and Information, Ludong University,Yantai 264025, Shandong, China

Received:2009-05-19 Online:2010-11-16 Published:2010-11-24

摘要/Abstract

摘要：

在f(x)为一般解析函数时,讨论了矩阵函数方程f(X)=A在实数域上有解的充要条件,并由此给出了方程求解的方法步骤。

关键词: 矩阵函数;矩阵方程;Jordan标准形

Abstract:

Let f(x) be a general analytic function over a real field. The necessary and sufficient conditions for solvability of the matrix function equation f(X)=A are discussed, as well as ways to solve them.

Key words: matrix function; matrix function equation; Jordan standard form

程学汉,邹青. 实数域上矩阵函数方程的解[J]. J4, 2010, 45(11): 67-72.

CHENG Xue-han, ZOU Qing. Solutions of a matrix function equation on the real field[J]. J4, 2010, 45(11): 67-72.

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