一类特殊块下三角复合矩阵可换的研究  

Research on a Class of Special Exchangeable Block Compound Lower Triangular Matrices

作　　者：侯春娟[1] 

机构地区：[1]广东商学院华商学院

出　　处：《佳木斯大学学报（自然科学版）》2010年第4期604-607,共4页Journal of Jiamusi University：Natural Science Edition

摘　　要：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.本文主要应用块复合矩阵的可换的定义,研究了一类特殊块下三角复合矩阵A和B可换的条件.Since the research on eigenvalue problems has always been a key topic of mathematical matrices,the researches on the block eigenvalues of block compound matrices are quite systematic. Usually,an eigenvalue problem takes a special form of block eigenvalues of a block compound matrix. Therefore,the research on block eigenvalue problems plays a very important role. In this paper,some properties of the block eigenvalues for block compound lower triangular matrices was discussed. Also,the special exchangeable situation was studied about two block compound lower triangular matrices A and B.

关 键 词：块复合矩阵 下三角矩阵 块特征值 块特征向量. 

分 类 号：O151.21[理学—数学]