利用-型特征值包含定理及修正矩阵,给出随机矩阵两个新的非1特征值包含区域,并由此得到随机矩阵非奇异的两个新的充分条件。数值例子表明,在某些情况下所得结果改进了几个已有结果。 Two new inclusion regions of eigenvalue different from 1 of stochastic matrices are given by using the -eigenvalue inclusion theorem and the theory of modified matrices; and two new sufficient conditions of stochastic matrices nonsingular are obtained. Numerical examples are given to show that the existing results are improved in some cases.
随机矩阵,a1-矩阵,非1特征值, a-型特征值包含定理, Stochastic Matrices a1-Matrices Eigenvalue Different from 1 a-Eigenvalue Inclusion Theorem随机矩阵非1特征值的新包含区域
周宝星,卫慧芳,李耀堂. 随机矩阵非1特征值的新包含区域 The New Inclusion Region of Eigenvalue Different from 1 for a Stochastic Matrix[J]. 理论数学, 2016, 06(04): 361-367. http://dx.doi.org/10.12677/PM.2016.64051
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