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] Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices
Trench, WF
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (06): : 1722 - 1736
[12] Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices
Trench, William F.
SIAM Journal of Scientific Computing, 1997, 18 (06): : 1722 - 1736
[13] On the generalized inverse eigenvalue problem of constructing symmetric pentadiagonal matrices from three mixed eigendata
Moghaddam, Mahsa R.
Mirzaei, Hanif
Ghanbari, Kazem
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (06): : 1154 - 1166
[14] An eigenvalue localization theorem for stochastic matrices and its application to Randic matrices
Banerjee, Anirban
Mehatari, Ranjit
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 505 : 85 - 96
[15] AN EIGENVALUE RECURSION FOR TOEPLITZ MATRICES
WILKES, DM
HAYES, MH
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (06): : 907 - 909
[16] The complete positivity of symmetric tridiagonal and pentadiagonal matrices
Cao, Lei
McLaren, Darian
Plosker, Sarah
SPECIAL MATRICES, 2023, 11 (01):
[17] NUMERICAL-SOLUTION OF THE EIGENVALUE PROBLEM FOR SYMMETRIC RATIONALLY GENERATED TOEPLITZ MATRICES
TRENCH, WF
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1988, 9 (02) : 291 - 303
[18] On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices
Jia, Jiteng
Yang, Boting
Li, Sumei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (04) : 1036 - 1044
[19] Minimum eigenvalue of a Toeplitz matrix and a product of Toeplitz matrices
Rambour, Philippe
ANNALES MATHEMATIQUES DU QUEBEC, 2015, 39 (01): : 25 - 48
[20] An Eigenvalue Problem for a Symmetric Toeplitz Matrix
Kuznetsov, Yu. I.
NUMERICAL ANALYSIS AND APPLICATIONS, 2009, 2 (04) : 326 - 329

← 1 2 3 4 5 →