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
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。
Abstract: 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].
文章引用：李素华, 李耀堂. 随机矩阵新的非1特征值包含集[J]. 理论数学, 2015, 5(5): 238-246. https://dx.doi.org/10.12677/PM.2015.55034

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