随机矩阵新的非1特征值包含集  

New Sets to Localize All Eigenvalues Different from 1 for a Stochastic Matrix

作　　者：李素华 李耀堂[1] 

机构地区：[1]云南大学,数学与统计学院,云南昆明

出　　处：《理论数学》2015年第5期238-246,共9页Pure Mathematics

基　　金：国家自然科学基金资助项目(11361074)资助。

摘　　要：本文利用S-SDD矩阵的非奇异性及修正矩阵理论,给出具有非零相同行和实矩阵非奇异的三个新的充分条件,进而得到了随机矩阵的三个新的非1特征值包含集。数值例子表明,所得结果改进了Shen et al. [Linear Algebra Appl., 447 (2014) 74-87],Cvetkovic et al. [ETNA., 18 (2004) 73-80]和Li et al. [Linear and Multilinear Algebra,http://dx.doi.org/10.1080/03081087.2014.986044]的结果。By using the nonsingularity of S-SDD matrices and the theory of modified matrices, three new suf-ficient conditions of the nonsingular real matrices with nonzero same row sums are given, and then three new sets to localize all eigenvalues different from 1 for a stochastic matrix are obtained. Numerical examples are given to illustrate that the proposed results are better than the results of Shen et al. [Linear Algebra Appl., 447(2014)74-87], Cvetkovic et al. [ETNA., 18(2004)73-80] and Li et al. [Linear and Multilinear Algebra, http://dx.doi.org/10.1080/03081087.2014.986044].

关 键 词：随机矩阵 S-SDD矩阵 具有相同行和实矩阵 非奇异 特征值包含集 

分 类 号：O1[理学—数学]