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
收藏
页码：572 / 590
页数：19
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