An eigenvalue localization theorem for pentadiagonal symmetric Toeplitz matrices

被引：18

作者：

Elouafi, Mohamed ^{[1
]}

机构：

[1] Preparatory Classes High Sch Engn, Tangier, Morocco

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 11期

关键词：

Toeplitz matrix; Determinant; Eigenvalue; Chebyshev polynomial;

D O I：

10.1016/j.laa.2011.05.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：2986 / 2998

页数：13

共 50 条

[11] Symmetric schemes for computing the minimum eigenvalue of a symmetric Toeplitz matrix
Voss, H
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 287 (1-3) : 359 - 371
[12] Asymptotic Eigenvalue Expansions for Toeplitz Matrices with Certain Fisher–Hartwig Symbols
Bogoya M.
Böttcher A.
Grudsky S.M.
Journal of Mathematical Sciences, 2023, 271 (2) : 176 - 196
[13] EIGENVALUE LOCALIZATION FOR COMPLEX MATRICES
Gumus, Ibrahim Halil
Hirzallah, Omar
Kittaneh, Fuad
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2014, 27 : 892 - 906
[14] Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators
Kurmanbek, Bakytzhan
Erlangga, Yogi
Amanbek, Yerlan
RESULTS IN APPLIED MATHEMATICS, 2021, 11
[15] The eigenvalue distribution of products of Toeplitz matrices - Clustering and attraction
Serra-Capizzano, Stefano
Sesana, Debora
Strouse, Elizabeth
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (10) : 2658 - 2678
[16] Asymptotic spectral properties of totally symmetric multilevel Toeplitz matrices
Trench, William F.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 416 (2-3) : 696 - 709
[17] Inverses, determinants, eigenvalues, and eigenvectors of real symmetric Toeplitz matrices with linearly increasing entries
Buenger, F.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 459 : 595 - 619
[18] Asymptotics of eigenvalues of symmetric Toeplitz band matrices
Batalshchikov, A. A.
Grudsky, S. M.
Stukopin, V. A.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 469 : 464 - 486
[19] A note on computing the inverse and the determinant of a pentadiagonal Toeplitz matrix
Lv, Xiao-Guang
Huang, Ting-Zhu
Le, Jiang
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 327 - 331
[20] Extreme eigenvalues of real symmetric Toeplitz matrices
Melman, A
MATHEMATICS OF COMPUTATION, 2001, 70 (234) : 649 - 669

← 1 2 3 4 5 →