单侧八元多项式的零点界

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-11-01 DOI:10.2478/auom-2021-0043

R. Serôdio, P. Beites, J. Vitória

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引用次数: 1

摘要

摘要本文证明了单侧八元多项式的零属于一个合适的λ -矩阵的隐根的共轭类。这允许使用材料范数，特别是矩阵范数，来获得单边八元多项式零点的上界和下界。一些对复多项式和/或矩阵多项式有效的结果推广到八元多项式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bounds for the zeros of unilateral octonionic polynomials

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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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.