次Hermite矩阵的对角化及次Hermite矩阵的应用

Applicataon of Sub Hermite Matrix and Its Diagonalization

循环矩阵在理论及实际问题上都得到了广泛的应用,而循环矩阵是一类典型的次对称矩阵,此外Hadamare 矩阵中也涉及到了次对称矩阵,本文将对次对称矩阵进一步的推广,定义了次Hermite 矩阵及次正定的次Hermite 矩阵.并且讨论它们的对角化方法,得出了类以于Hermite 矩阵的一些结论,最后作为应用,讨论了次Hermite 矩阵的算子范数及F—范数的理论值。关键词次Hermite 矩阵次特征值及次特征向量次正定的次Hermite 矩阵.

On base of sub—symmetry matrix this paper defines sub Hermite matrix and sub Hermite matrix of subpositive from.eiseusses the diagonalization methoe of matrixes and gets some conclusions similar to Hermitematrix.The paper further calculates ane eiscussts the theoritical values of F—norm and norm of sub Hermitematrix operater.