【作者】 王丽娟； 谷根代；

【Author】 Wang Lijuan Gu Gengdai (School of Mathematics and Physics,North China Electric Power University, Baoding China,071003)

【机构】 华北电力大学数理学院；

【摘要】 针对对称矩阵非齐次特征值问题:AX=λX+b,X~TX=1,A为n×n阶对称矩阵,b∈R~n。本文讨论了非齐次项对其解的存在性的影响,得到解对非齐次项的敏感性定理。并用算例进行了验证。更多还原

【Abstract】 Aiming at the problem of the inhomogeneous eigenvalue for symmetric matrix:AX =λX + b.X~TX = 1.A is a n×n symmetric matrix and b is a real n - dimension vector.This paper discusses the inhomogeneous term which has influence on the existence of solution,and obtains the sensitivity theorem of the solution for the inhomogeneous term.Then gives some examples to validate it.更多还原