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
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
We express the eigenvalues of a pentadiagonal symmetric Toeplitz matrix as the zeros of explicitly given rational functions. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:2986 / 2998
页数:13
相关论文
共 50 条
[31]   A symmetry exploiting Lanczos method for symmetric Toeplitz matrices [J].
Voss, H .
NUMERICAL ALGORITHMS, 2000, 25 (1-4) :377-385
[32]   On Pairs of Symmetric Toeplitz Matrices Whose Squares Are Identical [J].
Chugunov, V. N. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (05) :733-743
[33]   On the skew-symmetric part of the product of Toeplitz matrices [J].
Ikramov, KD ;
Chugunov, VN .
MATHEMATICAL NOTES, 1998, 63 (1-2) :124-127
[34]   An explicit formula for the inverse of a pentadiagonal Toeplitz matrix [J].
Wang, Chaojie ;
Li, Hongyi ;
Zhao, Di .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 278 :12-18
[35]   DETERMINANTS OF SOME PENTADIAGONAL MATRICES [J].
Losonczi, Laszlo .
GLASNIK MATEMATICKI, 2021, 56 (02) :271-286
[36]   Positive integer powers and inverse for one type of even order symmetric pentadiagonal matrices [J].
Arslan, Saadet ;
Koken, Fikri ;
Bozkurt, Durmus .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) :5241-5248
[37]   On the determinant of general pentadiagonal matrices [J].
da Fonseca, Carlos M. ;
Losonczi, Laszlo .
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020, 97 (3-4) :507-523
[39]   A note on eventually SDD matrices and eigenvalue localization [J].
Liu, Qiong ;
Li, Zhengbo ;
Li, Chaoqian .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 311 :19-21
[40]   Characterizing and approximating eigenvalue sets of symmetric interval matrices [J].
Hladik, Milan ;
Daney, David ;
Tsigaridas, Elias .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (08) :3152-3163