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arxiv: 1706.02010 · v1 · pith:M5FYMHRWnew · submitted 2017-06-06 · 🧮 math.SP

Note on regions containing eigenvalues of a matrix

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keywords eigenvalueregioninclusionalphabeta-typecontainedmatrixregions
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By excluding some regions, in which each eigenvalue of a matrix is not contained, from the \alpha\beta-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 \alpha\beta-type eigenvalue inclusion region.

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