# 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

Abstract: 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.

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