纺织高校基础科学学报2011,Vol.24Issue(2):264-269,6.
关于庞加莱分离定理的一个注记
A note on Poincaré separation theorem
摘要
Abstract
In order to solve an inverse problem on the matrix,the inverse proposition of Poincare separation theorem with equality is investigated by using the technique of contracting matrice and the ideas of classification and transformation. The necessary conditions which equalities hold are obtained. Using this result,some nature of the matrix can be obtained by the characteristics of its eigenvalues.关键词
Hermite阵/酉阵/庞加莱分离定理Key words
Hermite matrix/unitary matrix/Poincare separation theorem分类
数理科学引用本文复制引用
杜清礼,任芳国..关于庞加莱分离定理的一个注记[J].纺织高校基础科学学报,2011,24(2):264-269,6.基金项目
国家自然科学基金资助项目(10971123) (10971123)
陕西省自然科学基金资助项目(2011JMl007) (2011JMl007)
陕西师范大学重点基金资助项目(995281) (995281)