Bounds for the right spectral radius of quaternionic matrices

I.  Ali

doi:10.37863/umzh.v72i6.6018

I. Ali School Basic Sci., Indian Inst. Technology Indore, Simrol, India

DOI: https://doi.org/10.37863/umzh.v72i6.6018

Abstract

UDC 517.5

In this paper we present bounds for the sum of the moduli of right eigenvalues of a quaternionic matrix. As a consequence, we obtain bounds for the right spectral radius of a quaternionic matrix. We also present a minimal ball in 4D spaces which contains all the Gersgorin balls of a quaternionic matrix. As an application, we introduce the estimation for the right ˇ eigenvalues of quaternionic matrices in the minimal ball. Finally, we suggest some numerical examples to illustrate of our results.

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