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Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2023-02-14 , DOI: 10.1080/03081087.2023.2177581
Charles Johnson 1 , Yulin Zhang 2 , Frank Qiu 1 , Carla Ferreira 2
Affiliation  

We investigate the converse of the known fact that if the Gershgorin discs of a real n-by-n matrix may be separated by positive diagonal similarity, then the eigenvalues are real. In the 2-by-2 cas...

中文翻译:


不可分格什戈林圆盘与实矩阵共轭复特征值的存在性



我们研究了已知事实的反面,即如果实数 n×n 矩阵的格什戈林圆盘可以通过正对角线相似性分隔,则特征值是实数。在 2×2 的情况下...
更新日期:2023-02-14
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