Results 81 to 90 of about 900 (183)
Semilocal Convergence for new Chebyshev-type iterative methods
, 2019 [EN] In this paper, the convergence of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings.
Hueso, José L. +4 more
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Improved semilocal convergence analysis in Banach space with applications to chemistry
, 2018 We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis K +2 more
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Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems [PDF]
, 2017 [EN] In this paper, we analyze the semilocal convergence of k-steps Newton's method with frozen first derivative in Banach spaces. The method reaches order of convergence k + 1.
Hernández-Verón, Miguel Angel +2 more
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On the convergence of Steffensen-type methods using recurrent functions nonexpansive mappings
Journal of Numerical Analysis and Approximation Theory, 2009 We introduce the new idea of recurrent functions to provide a new semilocal convergence analysis for Steffensen-type methods (STM) in a Banach space setting.
Ioannis K. Argyros, Saïd Hilout
doaj +2 more sources
On an iterative algorithm of Ulm-type for solving equations
Journal of Numerical Analysis and Approximation Theory, 2013 We provide a semilocal convergence analysis of an iterative algorithm for solving nonlinear operator equations in a Banach space setting. This algorithm is of order \(1.839\ldots\), and has already been studied in [3, 8, 18, 20].
Ioannis K. Argyros, Sanjay K. Khattri
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On a third order iterative method for solving polynomial operator equations
Journal of Numerical Analysis and Approximation Theory, 2002 We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree \(2\). The method consists in fact in evaluating the Jacobian at every two steps, and it has the \(r\)-convergence order at least \(3\).
Emil Cătinaş, Ion Păvăloiu
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Cubo, 2011 We provide a semilocal convergence analysis for Newton-type methods to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The Frechet-derivative of the operator involved is not necessarily continuous invertible. This
Ioannis K Argyros, Saïd Hilout
doaj
, 2005 In this study, we provide a new semilocal convergence theorem for Newton's method. It is assumed that an operator is twice continuously Fréchet-differentiable at only one point.
Hu, Zhongyong
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Functional Optimization Through Semilocal Approximate Minimization
, 2010 An approach based on semilocal approximation is introduced for the solution of a general class of operations research problems, such as Markovian decision problems, multistage optimal control, and maximum-likelihood estimation.
Cristiano Cervellera +2 more
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Extended convergence results for the Newton-Kantorovich iteration
, 2015 We present new semilocal and local convergence results for the Newton-Kantorovich method. These new results extend the applicability of the Newton-Kantorovich method on approximate zeros by improving the convergence domain and ratio given in earlier ...
Argyros, Ioannis K. +1 more
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