Zeros Of Polynomials
Mostrando 1-9 de 9 artigos, teses e dissertações.
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1. Orthogonality and the hausdorff dimension of the maximal measure
In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the propert
Publicado em: 2011
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2. Zeros of orthogonal polynomials on the real line / Zeros de polinomios ortogonais na reta real
Results concerning the behaviour of zeros of orthogonal polynomials are obtained. It is known that they are real and distinct and play as important role as node of the most frequently used rules for numerical integration, the Gaussian quadrature formulae. Result about the location and monotonicity of the zeros, considered as functions of parameters involved
Publicado em: 2010
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3. Zeros de polinômios em espaços de Banach / Zeros of polynomials on real Banach spaces
Este trabalho aborda principalmente dois tópicos em Análise Funcional. No primeiro tópico, estudamos zeros de polinômios em espaços de Banach reais. Apresentamos resultados devidos a J. Ferrer, estabelecendo que todo polinômio fracamente contínuo sobre os subconjuntos limitados de um espaço de Banach, de dual não separável na topologia fraca estrel
Publicado em: 2010
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4. Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi measures. The measures of the inner products considered are beyond the concept of coherent pairs of measures. Existence, real character, lo
Computational & Applied Mathematics. Publicado em: 2010
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5. Localização de zeros reais de polinômios intervalares / Real zero localization of interval polynomials
Este trabalho contém um estudo para isolar os zeros reais de polinômios cujos coeficientes podem ser perturbados, isto é, os coeficientes possuem variações que constituem intervalos. Assim chamamos a tais polinômios de Polinômios Intervalares do mesmo modo que chamamos de polinômios complexos àqueles que possuem coeficientes complexos. Isolar os zer
Publicado em: 2010
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6. Family of polynomials: Rouh-Hurwitz and Kharitonov´s theorem / Familias de polinômios estáveis: teoremas de Routh-Hurwitz e Kharitonov
The objective of this work is to determine when all of zeros of a given polynomial have negative real parts, called stable or Hurwitz polynomials. We will present and prove the Routh-Hurwitz criterion. Furthermore we will extend the result for classes of polynomials defined by letting their coeficients vary independently in an arbitrary finite interval. Then
Publicado em: 2008
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7. Zeros of polynomials and properties polynomials in Banach spaces / Zeros de polinômios e propriedades polinomiais em espaços de Banach
Neste trabalho temos por objetivo apresentar alguns resultados relacionados aos temas abordados por Aron, Choi e Llavona (1995), Aron e Dimant (2002) e Aron e Rueda (1997). Primeiramente, vamos estudar as propriedades polinomiais (P) e (RP) para os espaços de Banach e a propriedade ACL para as funções definidas entre as bolas unitárias fechadas do espaç
Publicado em: 2006
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8. NOTE ON THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
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9. ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS*
A new algebraic criterion is given for a polynomial φ with complex coefficients to have all its zeros in a certain type of algebraic region T of the complex plane. In particular, T may be any circle or half plane. The criterion is effectively computable from the coefficients of the polynomial φ. The classical results of Hermite, Hurwitz, Lyapunov, Schur-Co