标题:
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
作者:
周宝星, 卫慧芳, 李耀堂
关键字:
随机矩阵, α1-矩阵, 非1特征值, α-型特征值包含定理Stochastic Matrices, α1-Matrices, Eigenvalue Different from 1, α-Eigenvalue Inclusion Theorem
期刊名称:
《Pure Mathematics》, Vol.6 No.4, 2016-07-29
摘要:
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.