Bounds for the zeros of unilateral octonionic polynomials

被引：2

作者：

Serodio, Rogerio ^{[1
,2
]}

Beites, P. D. ^{[1
,2
]}

Vitoria, Jose ^{[3
]}

机构：

[1] Univ Beira Interior, CMA, Rua Marques dAvila & Bolama, P-6201001 Covilha, Portugal

[2] Univ Beira Interior, Dept Matemat, Rua Marques dAvila & Bolama, P-6201001 Covilha, Portugal

[3] Univ Coimbra, Dept Math, Apartado 3008, P-3001501 Coimbra, Portugal

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2021年 / 29卷 / 03期

关键词：

Octonions; octonionic polynomials; matricial norms; bounds for the zeros; QUATERNION;

D O I：

10.2478/auom-2021-0043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：243 / 267

页数：25