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
相关论文
共 50 条
  • [41] Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices
    Hu, Zhiguang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 619 : 328 - 337
  • [42] IMPROVEMENT OF BOUNDS FOR EIGENVALUES OF SYMMETRIC TRIDIAGONAL MATRICES
    ALEFELD, G
    HERZBERG.J
    ANGEWANDTE INFORMATIK, 1974, (01): : 27 - 35
  • [43] ON FINDING EIGENVALUES OF REAL SYMMETRIC TRIDIAGONAL MATRICES
    PARLETT, B
    COMPUTER JOURNAL, 1967, 9 (04): : 344 - &
  • [44] ON THE EIGENVALUES OF CERTAIN GENERALIZATIONS OF TOEPLITZ MATRICES
    PARTER, SV
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1963, 11 (03) : 244 - 257
  • [45] ON EXTREME EIGENVALUES OF TRUNCATED TOEPLITZ MATRICES
    PARTER, SV
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (02) : 191 - &
  • [46] Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices
    Dai, Hui
    Geary, Zachary
    Kadanoff, Leo P.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
  • [47] Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices
    Boettcher, A.
    Bogoya, J. M.
    Grudsky, S. M.
    Maximenko, E. A.
    SBORNIK MATHEMATICS, 2017, 208 (11) : 1578 - 1601
  • [48] Inverses of tridiagonal Toeplitz and periodic matrices with applications to mechanics
    Wittenburg, J
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1998, 62 (04): : 575 - 587
  • [49] Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices
    Wei, Yunlan
    Jiang, Xiaoyu
    Jiang, Zhaolin
    Shon, Sugoog
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [50] The inverses and eigenpairs of tridiagonal Toeplitz matrices with perturbed rows
    Yunlan Wei
    Yanpeng Zheng
    Zhaolin Jiang
    Sugoog Shon
    Journal of Applied Mathematics and Computing, 2022, 68 : 623 - 636
12345