Results 1 to 10 of about 3,003 (109)
Semilocal Convergence of the Extension of Chun’s Method [PDF]
Axioms, 2021 In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method.
Alicia Cordero +4 more
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Extended semilocal convergence for the Newton- Kurchatov method
Математичні Студії, 2020 We provide a semilocal analysis of the Newton-Kurchatov method for solving nonlinear equations involving a splitting of an operator. Iterative methods have a limited restricted region in general.
H.P. Yarmola +2 more
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Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition [PDF]
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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Journal of Numerical Analysis and Approximation TheoryIn this work, a comprehensive analysis of a multi-step iterative composition for nonlinear equation is performed, providing insights into both local and semilocal convergence properties.
Sunil Kumar +2 more
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Semilocal convergence conditions for the secant method, using recurrent functions
Journal of Numerical Analysis and Approximation Theory, 2011 Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
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An improved semilocal convergence analysis for the midpoint method
Journal of Numerical Analysis and Approximation Theory, 2016 We expand the applicability of the midpoint method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than the known results in scientific literature [1,3,4,5,6,7,8,9,10,11,19,
Ioannis K. Argyros, Sanjay K. Khattri
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A semilocal convergence analysis for the method of tangent parabolas
Journal of Numerical Analysis and Approximation Theory, 2005 We present a semilocal convergence analysis for the method of tangent parabolas (Euler-Chebyshev) using a combination of Lipschitz and center Lipschitz conditions on the Fréchet derivatives involved.
Ioannis K. Argyros
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Mathematics, 2021 In this paper, we construct and study a new family of multi-point Ehrlich-type iterative methods for approximating all the zeros of a uni-variate polynomial simultaneously.
Petko D. Proinov, Milena D. Petkova
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A New Family of High-Order Ehrlich-Type Iterative Methods
Mathematics, 2021 One of the famous third-order iterative methods for finding simultaneously all the zeros of a polynomial was introduced by Ehrlich in 1967. In this paper, we construct a new family of high-order iterative methods as a combination of Ehrlich’s iteration ...
Petko D. Proinov, Maria T. Vasileva
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A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV’S METHOD [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractIn this paper we develop a Kantorovich-like theory for Chebyshev’s method, a well-known iterative method for solving nonlinear equations in Banach spaces. We improve the results obtained previously by considering Chebyshev’s method as an element of a family of iterative processes.
Diloné, Manuel A. +2 more
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