块复合矩阵之块特征值的若干性质

Some Properties of the Block Eigenvalues of Block Compound Matrices

特征值问题的研究一直以来都是数学矩阵方面的重点课题,从而块复合矩阵的块特征值领域的研究也颇具系统。通常的特征值问题是块复合矩阵之块特征值的一种特殊形式。因此,块特征值问题的研究起到了十分重要的作用。讨论块复合矩阵之块特征值的若干性质,同时系统地研究块复合矩阵特征值及其本身相关的一些基本性质和特点。还研究了一类特殊块复合矩阵A和B可换的条件,并加以证明。

The research on eigenvalue has always been the important field of mathematical matrix,so the research on the block eigenvector of block compound matrix is systematic.The problem of eigenvalue is a special form of the block eigenvector about block compound matrix.Therefore,the research on the block eigenvalue plays an extremely vital role.This paper discusses some properties of the block eigenvalues of the block compound matrices and also systematically studies their related basic properties and characterist...