单侧八元多项式的零点界

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。

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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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