Work

The Spectrum of a Certain Large Block Matrix

Year: 2024

Type: article

Abstract: Large matrices appear in many applications in computer science, physics, chemistry and many other disciplines. This is because such matrices have the ability to hold huge amounts of memory. On of the main properties that researchers are interested is studying the spectral theory of these matrices. In this paper, we compute the spectrum of a certain large matrix that can serve as an adjacency matrix of a certain clean graph. In particular, we give a full characterization of the eigenvalues and eigenvectors of the intended matrix.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v17i4.5317

Authors: Edris Rawashdeh, Heba Adel Abdelkarim, Eman Rawshdeh

Institutions: Yarmouk University, Irbid National University, Al-Balqa Applied University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403934027

FWCI: 0.7

Cites:

Cited by: 1

Related to: 10