矩阵的实特征值为正的条件与判断  

Conditions and Judgements of Matrices with Positive Real Eigenvalues

作　　者：金升平[1] 熊方方[1] 李琼[1] 

机构地区：[1]武汉理工大学统计系,武汉430063

出　　处：《重庆理工大学学报（自然科学）》2011年第1期117-119,共3页Journal of Chongqing University of Technology：Natural Science

摘　　要：对实矩阵的实特征值必为正数的条件进行了研究,得到了一些充要条件和充分条件,并对一些特殊的矩阵给出了判断方法。对一般的实矩阵,给出了利用Sturm定理判断负的相异实特征值的个数的方法。It was studied in this paper that a real matrix had positive real eigenvalues.Some sufficient and necessary conditions and sufficient conditions were obtained.Some methods were given to assert a special matrix which has positive real eigenvalues.A method was also pointed to count the number of different real negative eigenvalues of a general matrix by using Sturm theorem.

关 键 词：特征值 正稳定矩阵 M-矩阵 Sturm定理 

分 类 号：O15[理学—数学]