On matrix D-stability and related properties

来源 :The 24th International Workshop on Matrices and Statistics(第 | 被引量 : 0次 | 上传用户：meng20040511

【摘要】

：

　　In this paper, we study the localization of matrix spectra inside a given sector of the complex plane, including matrix stability and eigenvalue positivity.

【作者】

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Volha Kushel

【机构】

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SJTU,China

【出处】

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The 24th International Workshop on Matrices and Statistics(第

【发表日期】

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2015年5期

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　　In this paper, we study the localization of matrix spectra inside a given sector of the complex plane, including matrix stability and eigenvalue positivity. We mainly focus on matrices whose spectral properties remain the same under multiplication by a positive diagonal matrix D. We study the conditions of matrix D-stability and D-positivity. New criteria of the invariance of matrix spectra losalization in terms of nested sequences of principal submatrices are presented.

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