Comportamento dos Zeros de Polinômios Sujeitos a uma Perturbação do Coeficiente Dominante

Authors

  • V.A. Botta P.
  • M. Meneguette Jr.

DOI:

https://doi.org/10.5540/tema.2010.011.01.0019

Abstract

Em algumas áreas da Matemática, como na Análise Numérica, por exemplo, é de fundamental importância o comportamento dos zeros dos polinômios algébricos na análise de algumas questões. Considerando uma classe de polinômios cujos coeficientes satisfazem algumas condições, estudaremos o comportamento dos zeros desses polinômios na tentativa de encontrar um contra-exemplo para uma conjectura apresentada por Meneguette [5].

References

[1] N. Anderson, E.B. Saff, R.S. Varga, On the Eneström-Kakeya theorem and its sharpness, Linear Algebra and Appl., 28 (1979), 5–16.

V.A. Botta, M. Meneguette Jr., J.A. Cuminato, Sobre uma generalização do Teorema de Eneström-Kakeya: polinômio reflexivo, TEMA Tend. Mat. Apl. Comput., 9, No. 1 (2008), 125–132.

V.A. Botta, “Zeros de Polinômios Característicos e Estabilidade de Métodos Numéricos”, Tese de Doutorado, ICMC-USP, São Carlos, 2008.

M. Marden, “Geometry of Polynomials”, American Mathematical Society, Providence, RI, 1966.

M. Meneguette Jr., Zeros in the unit disk, SIAM Review, 36 (1994), 656–657.

I. Schur, Über Potenzreihen, die in Innern des Einheitskreises beschränkt sind, J. Reine Angew. Math., 147 (1917), 205–232.

I. Schur, Über Polynome, die nur in Innern des Einheitkreis verschwinden, J. Reine Angew. Math., 148 (1918), 122-145.

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Published

2010-06-01

How to Cite

Botta P., V., & Meneguette Jr., M. (2010). Comportamento dos Zeros de Polinômios Sujeitos a uma Perturbação do Coeficiente Dominante. Trends in Computational and Applied Mathematics, 11(1), 19–28. https://doi.org/10.5540/tema.2010.011.01.0019

Issue

Vol. 11 No. 1 (2010)

Section

Original Article

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