Eigenvalue Localization for Symmetric Positive Toeplitz Matrices

Given a real symmetric matrix, several inclusion and exclusion intervals containing its eigenvalues can be given. In this paper, for symmetric positive Toeplitz matrices, we provide an inclusion interval and, under an additional hypothesis, we also give two disjoint intervals contained in the previo...

Full description

Bibliographic Details
Published in:	Axioms
Main Author:	Juan M. Peña
Format:	Article
Language:	English
Published:	MDPI AG 2025-03-01
Subjects:	Toeplitz matrices symmetric matrices eigenvalue localization totally positive matrices circulant matrices
Online Access:	https://www.mdpi.com/2075-1680/14/4/232

Similar Items

Positive Hankel Matrices, Eigenvalues and Total Positivity
by: Juan Manuel Peña
Published: (2025-07-01)

Remarks on extreme eigenvalues of Toeplitz matrices
by: Mohsen Pourahmadi
Published: (1988-01-01)

A smoothing spline algorithm to interpolate and predict the eigenvalues of matrices extracted from the sequence of preconditioned banded symmetric Toeplitz matrices
by: Salima Kouser, et al.
Published: (2024-04-01)

A Fast Algorithm for the Eigenvalue Bounds of a Class of Symmetric Tridiagonal Interval Matrices
by: Quan Yuan, et al.
Published: (2023-02-01)

On the Limiting Distribution of the Spectra of Random Block Matrices
by: Alexander N. Tikhomirov
Published: (2025-06-01)

Totally Positive Wronskian Matrices and Symmetric Functions
by: Pablo Díaz, et al.
Published: (2024-08-01)

Star-Convexity of the Eigenvalue Regions for Stochastic Matrices and Certain Subclasses
by: Brando Vagenende, et al.
Published: (2025-06-01)

The eigenvalues of some anti-tridiagonal Hankel matrices
by: Carlos Fonseca
Published: (2018-01-01)

ON FORMULATION OF LIMITARY SPECTRUM OF BANDED TOEPLITZ MATRICES
by: Svetlana Andreyevna Zolotykh, et al.
Published: (2012-12-01)

Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices
by: S. Arela-Pérez, et al.
Published: (2022-08-01)

Further remarks on (0,1) Toeplitz determinants
by: Yaroslav Shitov
Published: (2024-11-01)

Construction of 4 x 4 symmetric stochastic matrices with given spectra
by: Jung Jaewon, et al.
Published: (2024-03-01)

Partially doubly strictly diagonally dominant matrices with applications
by: Yi Liu, et al.
Published: (2023-03-01)

Realization of Extremal Spectral Data by Pentadiagonal Matrices
by: Hubert Pickmann-Soto, et al.
Published: (2024-07-01)

Limit Theorems for Spectra of Circulant Block Matrices with Large Random Blocks
by: Alexander Tikhomirov, et al.
Published: (2024-07-01)

THE ALGORITHM AND PROGRAM OF M-MATRICES SEARCH AND STUDY
by: Y. N. Balonin, et al.
Published: (2013-05-01)

A Note on NIEP for Leslie and Doubly Leslie Matrices
by: Luis Medina, et al.
Published: (2020-04-01)

The theory and applications of complex matrix scalings
by: Pereira Rajesh, et al.
Published: (2014-02-01)

NEW SPECTRAL STATISTICS FOR ENSEMBLES OF 2 × 2 REAL SYMMETRIC RANDOM MATRICES
by: Sachin Kumar, et al.
Published: (2017-12-01)

Distribution of Eigenvalues and Upper Bounds of the Spread of Interval Matrices
by: Wenshi Liao, et al.
Published: (2023-09-01)

ON SOME PROPERTIES OF UNBOUNDED BILINEAR FORMS ASSOCIATED WITH SKEW-SYMMETRIC L2(Ω)-MATRICES
by: P. I. Kogut
Published: (2013-03-01)

Toeplitz determinants for a certain class of analytic and univalent functions
by: Abbas Kareem Wanas, et al.
Published: (2025-03-01)

Total positivity, Gramian matrices, and Schur polynomials
by: Pablo Díaz, et al.
Published: (2025-02-01)

On Consistent and Weak Transitive Intuitionistic Fuzzy Matrices
by: E. G. Emam
Published: (2022-02-01)

Immanant Conversion on Symmetric Matrices
by: Purificação Coelho M., et al.
Published: (2014-02-01)

Bounds on the largest eigenvalue and energy of the connectivity matrix
by: Tobias Hofmann
Published: (2025-01-01)

Transpose of Nörlund matrices on the domain of summability matrices
by: Gholamreza Talebi
Published: (2019-06-01)

TRACE MATRIKS TOEPLITZ 2-TRIDIAGONAL 3Ã—3 BERPANGKAT BILANGAN BULAT POSITIF
by: Isran R. Olii, et al.
Published: (2021-09-01)

Bidiagonal Factorizations of Filbert and Lilbert Matrices
by: Yasmina Khiar, et al.
Published: (2024-03-01)

Fast numerical algorithms for solving opposite-bordered tridiagonal Toeplitz linear systems and their applications
by: Hcini Fahd
Published: (2025-05-01)

About Primitiveness of Cyclic Matrices
by: Yana Eduardovna Avezova
Published: (2015-03-01)

Monotonicity Preserving Matrices
by: Fatma AYDIN AKGÜN, et al.
Published: (2017-06-01)

Some results on geometric circulant matrices involving the Leonardo numbers
by: Samet Arpacı, et al.
Published: (2024-02-01)

On Matrices with Only One Non-SDD Row
by: Ksenija Doroslovački, et al.
Published: (2023-05-01)

Symmetric Balanced Incomplete Block Designs (Sbibd) And Construction of Hadamard Rhotrices
by: Manivilasam Madhusoodanan Nair, et al.
Published: (2024-01-01)

General numerical radius for products of sectorial matrices
by: Mohammad Alakhrass
Published: (2025-07-01)

Two-level Cretan matrices constructed using SBIBD
by: Balonin N. A., et al.
Published: (2015-08-01)

Secondary k-column symmetric Neutrosophic Fuzzy Matrices
by: M. Anandhkumar, et al.
Published: (2024-02-01)

Extremal inverse eigenvalue problem for irreducible acyclic matrices
by: Debashish Sharma, et al.
Published: (2022-12-01)

MERSENNE AND HADAMARD MATRICES CALCULATION BY SCARPIS METHOD
by: N. A. Balonin, et al.
Published: (2014-05-01)