Sobre uma Generalização do Teorema de Eneström-Kakeya: Polinômio Reflexivo

Authors

  • M. Meneguette Jr.
  • V.A. Botta
  • J.A. Cuminato

DOI:

https://doi.org/10.5540/tema.2008.09.01.0125

Abstract

No estudo das questões de estabilidade de métodos numéricos é de fundamental importância o comportamento dos zeros do polinômio característico associado ao método. Neste trabalho analisaremos uma conjectura que fornece aA0 estabilidade do método numérico e demonstraremos sua validade no caso em que o polinômio analisado é reflexivo.

References

[1] R.L. Brown, Some characteristics of implicit multistep-multiderivative integration formulas, SIAM Journal Num. Anal., 14 (1977), 982-993.

R. Jeltsch, A0-stability and stiff stability of Brown’s multistep multiderivative methods, Numer. Math., 32 (1979), 167-181.

M. Marden, “Geometry of Polynomials”, Amer. Math. Soc., Providence, RI, 1966.

M. Meneguette Jr., “Multistep Multiderivative Methods and Related Topics”, Tese de Doutoramento, Linacre College, Oxford, 1987.

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, Reine Angew. Math., 147 (1917), 205-232.

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

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Published

2008-06-01

How to Cite

Meneguette Jr., M., Botta, V., & Cuminato, J. (2008). Sobre uma Generalização do Teorema de Eneström-Kakeya: Polinômio Reflexivo. Trends in Computational and Applied Mathematics, 9(1), 125–132. https://doi.org/10.5540/tema.2008.09.01.0125

Issue

Vol. 9 No. 1 (2008)

Section

Original Article

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