Note on regions containing eigenvalues of a matrix

2017/06/06 by Li, Suhua, Liu, Qingbing, Li, Chaoqian
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1706.02010

Abstract

By excluding some regions, in which each eigenvalue of a matrix is not contained, from the αβ-type eigenvalue inclusion region provided by Huang et al.(Electronic Journal of Linear Algebra, 15 (2006) 215-224), a new eigenvalue inclusion region is given. And it is proved that the new region is contained in the αβ-type eigenvalue inclusion region.

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