除环上左线性方程组反问题的右高解和次亚(半)正定解  

Rightly high solutions and minor positive(semi)definite solutions to the inverse problem of a system of linear left equations over skew fields

作　　者：王卿文[1] 孙建华[2] 

机构地区：[1]中国科学技术大学数学系,合肥230026 [2]扬州大学数学系,扬州225002

出　　处：《纯粹数学与应用数学》2001年第4期309-313,共5页Pure and Applied Mathematics

基　　金：山东省自然科学基金项目 ( Q99A0 8)

摘　　要：继续文 [1 ]的工作 ,给出了除环上左线性方程组反问题 (简称 IP)的右高解的表达式 ,导出了 IP有次自共轭解和次亚 (半 )This paper is the sequel of 〔1〕.The expression of rightly high solution to the inverse problem of a system of linear left equations (abbreviated to IP) over an arbitrary division ring is given.Necessary and sufficient conditions for the existence of and the expressions for minor self-conjugate solution and positive (semi)definite solution of IP are derived.

关 键 词：除环 线性方程组 反问题 次自共轭矩阵 右高矩阵 次亚不定解 半正定解 

分 类 号：O151.21[理学—数学]