SHELL EXTREMAL EIGENVALUES OF TRIDIAGONAL TOEPLITZ MATRICES

被引：0

作者：

Chorianopoulos, Christos ^{[1
]}

机构：

[1] Univ West Attica, Dept Elect & Elect Engn, Egaleo, Greece

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2023年 / 39卷

关键词：

Shell; Cubic curve; Toeplitz matrix; Extremal eigenvalues; Non-normal matrix; RANK NUMERICAL RANGE; ENVELOPE; GEOMETRY; SPECTRUM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The shell of a complex tridiagonal Toeplitz matrix is studied. Closed formulas for all quantities involved in its equation are presented. Necessary , sufficient conditions for a Toeplitz tridiagonal matrix to have shell extremal eigenvalues are given. Several, recently introduced, geometric quantities related to the shell are studied as measures of non-normality of these extremal eigenvalues of such matrices. These quantities are also proposed as measures of non-normality for the matrix itself.

引用

页码：572 / 590

页数：19

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