Work

Determinant, inertia, and inverse of a class of irreducible tridiagonal matrices

Year: 2025

Type: article

Abstract: In this paper, we study a class of irreducible tridiagonal matrices and analyze their fundamental properties. We derive explicit formulas for their determinant, providing insights into their spectral behavior. Additionally, we establish results concerning their inertia and obtain closed-form expressions for their inverse. These findings contribute to the broader understanding of structured matrices and have potential applications in various fields of mathematics and other sciences.

Source: Georgian Mathematical Journal

DOI: 10.1515/gmj-2025-2084

Authors: Cristian Conde, Ezequiel Dratman, Luciano N. Grippo

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, National University of General Sarmiento, Instituto de Ciencias

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415583601

FWCI:

Cites: 14

Cited by:

Related to: