Results 1 to 10 of about 5,932 (309)
Annular Bounds for the Zeros of a Polynomial [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 The problem of obtaining the smallest possible region containing all the zeros of a polynomial has been attracting more and more attention recently, and in this paper, we obtain several results providing the annular regions that contain all the zeros of ...
Le Gao, N. K. Govil
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Unified Convergence Analysis of Chebyshev–Halley Methods for Multiple Polynomial Zeros
Mathematics, 2022 In this paper, we establish two local convergence theorems that provide initial conditions and error estimates to guarantee the Q-convergence of an extended version of Chebyshev–Halley family of iterative methods for multiple polynomial zeros due to ...
Stoil I Ivanov
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On the Zeros of Exponential Polynomials
Journal of the ACM, 2023 We consider the problem of deciding the existence of real roots of real-valued exponential polynomials with algebraic coefficients. Such functions arise as solutions of linear differential equations with real algebraic coefficients. We focus on two problems: theZero Problem, which asks whether an exponential polynomial has a real root, and theInfinite ...
Ventsislav Chonev +2 more
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Some inequalities for the polar derivative of some classes of polynomials [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 In this paper, we investigate an upper bound of the polar derivative of a polynomial of degree where zeros are in and the remaining zeros are outside where .
Nuttapong Arunrat +1 more
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Location of zeros of Wiener and distance polynomials. [PDF]
PLoS ONE, 2012 The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial by determining disks in the complex plane in which all ...
Matthias Dehmer, Aleksandar Ilić
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A New Ehrlich-Type Sixth-Order Simultaneous Method for Polynomial Complex Zeros
Vetor, 2023 This paper presents a new iterative method for the simultaneous determination of simple polynomial zeros. The proposed method is obtained from the combination of the third-order Ehrlich iteration with an iterative correction derived from Li's fourth ...
Luiz Guerreiro Lopes +1 more
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Journal of Mathematics, 2022 In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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Configuration of Zeros of Isochronous Vector Fields of Degree 5
Complexity, 2021 In this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field.
Julio Cesar Avila +2 more
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A condition for associativity of univariate resultants
Examples and Counterexamples, 2023 We provide a condition on the occurrences of variables in polynomials and show that it ensures associativity of univariate resultants in non-trivial cases.
D.A. Wolfram
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Generalizations of some Enestrom-Kakeya type results
Bibechana, 2015 In this paper we give interesting generalizations of some well-known Enestrom-Kakeya type results on the location of zeros of a complex polynomial under less restrictive conditions on the coefficients of the polynomial. BIBECHANA 13 (2016) 1-8
MH Gulzar, AW Manzoor
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