Minimal sets alternative to minimal Geršgorin sets

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• 作者：Lj. Cvetković ; J.M. Peñ ; a
• 关键词：Eigenvalue localization ; Ger&#x161 ; gorin theorem ; Minimal Ger&#x161 ; gorin set
• 刊名：Applied Numerical Mathematics
• 出版年：2010
• 出版时间：April 2010
• 年：2010
• 卷：60
• 期：4
• 页码：442-451
• 全文大小：194 K

文摘

The concept of minimal Geršgorin set was introduced by Richard Varga (1965) in [10], and investigated in details in his book Geršgorin and his circles (2004), [12]. On the other hand, another type of localization of real eigenvalues, which can be considered as an alternative to well-known Geršgorin theorem, was introduced by Juan Manuel Peña (2001) in [7]. Here we are combining these two approaches, in order to get two alternative tools for getting some information about real eigenvalues, or real part of eigenvalues.