Generalized determinant pseudo-spectrum of matrix pencils

被引：5

作者：

Mahfoudhi, Kamel ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Route Soukra Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

JOURNAL OF ANALYSIS | 2021年 / 29卷 / 01期

关键词：

Pseudo-spectrum; Condition pseudo-spectrum; Determinant pseudo-spectrum; Primary; 15A09; 15A86; Secondary; 65F40; 15A60; 65F15; PSEUDOSPECTRUM;

D O I：

10.1007/s41478-020-00253-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of some new definition of pseudo-spectrum for a matrix pencils called generalized determinant pseudo-spectrum. Some properties of the generalized determinant pseudo-spectrum are investigated and some examples are also given. Finally, we show an analogue of the spectral mapping theorem for the generalized determinant pseudo-spectrum in the matrix algebra.

引用

页码：163 / 176

页数：14

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