A note on Poincaré separation theorem
Ren Fang-guo · Basic Sciences Journal of Textile Universities · 2011
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.