Bounds for the zeros of unilateral octonionic polynomials

Rogério Serôdio; P. D. Beites; José Vitória

doi:10.2478/auom-2021-0043

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Bounds for the zeros of unilateral octonionic polynomials

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 29 (2021): Issue 3 (November 2021)

By: Rogério Serôdio, P. D. Beites and José Vitória

Open Access

|Nov 2021

Abstract

In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix. This allows the use of matricial norms, and matrix norms in particular, to obtain upper and lower bounds for the zeros of unilateral octonionic polynomials. Some results valid for complex and/or matrix polynomials are extended to octonionic polynomials.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2021-0043 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 243 - 267

Submitted on: Apr 6, 2021

Accepted on: Apr 30, 2021

Published on: Nov 23, 2021

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Octonions,

octonionic polynomials,

Related subjects:

© 2021 Rogério Serôdio, P. D. Beites, José Vitória, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 3 (November 2021)