Finding eigenvalues for heptadiagonal symmetric Toeplitz matrices

被引：15

作者：

Solary, Maryam Shams ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 402卷 / 02期

关键词：

Toeplitz matrix; Determinant; Eigenvalue; Chebyshev polynomial;

D O I：

10.1016/j.jmaa.2013.02.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a formula for the determinant of heptadiagonal symmetric Toeplitz matrices is obtained. This formula and rational functions are used for studying eigenvalue localization. This work is done by Chebyshev polynomials of the first, second, third and fourth kinds. (c) 2013 Elsevier Inc. All rights reserved.

引用

页码：719 / 730

页数：12

共 50 条

[1] A note for an explicit formula for the determinant of pentadiagonal and heptadiagonal symmetric Toeplitz matrices
Elouafi, Mohamed
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) : 4789 - 4791
[2] 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
[3] Extreme eigenvalues of real symmetric Toeplitz matrices
Melman, A
MATHEMATICS OF COMPUTATION, 2001, 70 (234) : 649 - 669
[4] Determinant for the cyclic heptadiagonal matrices with Toeplitz structure
Solary, Maryam Shams
Sadeghy, Ensieh
AFRIKA MATEMATIKA, 2020, 31 (3-4) : 407 - 422
[5] Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices
Christopher Hammond
Steven J. Miller
Journal of Theoretical Probability, 2005, 18 : 537 - 566
[6] Bounds on the extreme eigenvalues of real symmetric Toeplitz matrices
Melman, A
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 21 (02) : 362 - 378
[7] Determinant for the cyclic heptadiagonal matrices with Toeplitz structure
Maryam Shams Solary
Ensieh Sadeghy
Afrika Matematika, 2020, 31 : 407 - 422
[8] Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
Hammond, C
Miller, SJ
JOURNAL OF THEORETICAL PROBABILITY, 2005, 18 (03) : 537 - 566
[9] Distribution of eigenvalues of real symmetric palindromic Toeplitz matrices and circulant matrices
Massey, Adam
Miller, Steven J.
Sinsheimer, John
JOURNAL OF THEORETICAL PROBABILITY, 2007, 20 (03) : 637 - 662
[10] Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices
Adam Massey
Steven J. Miller
John Sinsheimer
Journal of Theoretical Probability, 2007, 20 : 637 - 662

← 1 2 3 4 5 →