The Spectrum of a Certain Large Block Matrix

Authors

  • Edris Rawashdeh Yarmouk University
  • Heba Adel Abdelkarim Irbid National University
  • Eman Rawshdeh Al-Balqa Applied University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5317

Keywords:

Adjacency Matrix, Spectrum.

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.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

The Spectrum of a Certain Large Block Matrix. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2550-2561. https://doi.org/10.29020/nybg.ejpam.v17i4.5317