矩阵展形和矩阵秩的注记  

A Note on Estimation for the Spread and the Rank of Matrices

作　　者：姚美荣[1] 伍俊良[1] 薛兰兰[1] 

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《重庆工商大学学报（自然科学版）》2012年第8期8-10,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金(70872123)

摘　　要：首先在原有矩阵的基础上构造新的矩阵,然后对原矩阵特征值模的平方和的上界值进行估计得到新的上界值,进而给出矩阵展形及矩阵秩的一些新的估计值;最后,给出的数值算例表明结果是有效的.First of all, we build a new matrix based on the original matrix, some new estimations for the spread and the rank of matrices is obtained in this paper through finding upper bound by estimating upper bound value for the sum of squares of the module of eigenvalues of the original matrices, and at last, some numerical examples verify the effectiveness of our results.

关 键 词：矩阵 秩 展形 

分 类 号：O151.21[理学—数学]