Bounds for the right spectral radius of quaternionicmatrices-Reference-Cited by-同舟云学术

Bounds for the right spectral radius of quaternionicmatrices

Published:2020-05-25 Issue:6 Volume:72 Page:723-735
ISSN:1027-3190
Container-title:Ukrains’kyi Matematychnyi Zhurnal
language:
Short-container-title:Ukr. Mat. Zhurn.

Author:

Ali I.

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.

Publisher

Institute of Mathematics National Academy of Sciences of Ukraine

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