Bounds for the zeros of unilateral octonionic polynomials-Reference-Cited by-同舟云学术

Bounds for the zeros of unilateral octonionic polynomials

Published:2021-11-01 Issue:3 Volume:29 Page:243-267
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
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Author:

Serôdio Rogério¹,Beites P. D.¹,Vitória José²

Affiliation:

1. CMA and Departamento de Matemática , Universidade da Beira Interior , Rua Marquês d’Ávila e Bolama, 6201-001 Covilhã , Portugal .

2. University of Coimbra , Department of Mathematics , Apartado 3008, EC Santa Cruz, 3001-501 Coimbra , Portugal .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2021-0043

Reference35 articles.

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