A Gersgorin-type eigenvalue localization set with n parameters for stochastic matrices

作者：Wang, Xiaoxiao; Li, Chaoqian^*; Li, Yaotang

来源：Open Mathematics, 2018, 16(1): 298-310.

DOI：10.1515/math-2018-0030

• Stochastic Matrix
• Gersgorin set
• Subdominant eigenvalue

A set in the complex plane which involves n parameters in [0, 1] is given to localize all eigenvalues different from 1 for stochastic matrices. As an application of this set, an upper bound for the moduli of the subdominant eigenvalues of a stochastic matrix is obtained. Lastly, we fix n parameters in [0, 1] to give a new set including all eigenvalues different from 1, which is tighter than those provided by Shen et al.

• 出版日期2018-4-2
• 单位云南大学