Results 21 to 30 of about 472,892 (253)
Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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Extended convergence analysis of Newton-Potra solver for equations
Journal of Numerical Analysis and Approximation Theory, 2020 In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839....
Ioannis Argyros +3 more
doaj +7 more sources
A decorated tree approach to random permutations in substitution-closed classes [PDF]
, 2020 We establish a novel bijective encoding that represents permutations as forests of decorated (or enriched) trees. This allows us to prove local convergence of uniform random permutations from substitution-closed classes satisfying a criticality ...
Borga, Jacopo +3 more
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Two Point Iterative Schemes for Nondifferentiable Equations in Banach Space
European Journal of Mathematical Analysis, 2023 The local as well as the semi-local convergence analysis is established for a certain single step-two point iterative scheme defined on a Banach space setting. These schemes converge to a locally unique solution of a nonlinear equation.
Ioannis K. Argyros +2 more
doaj +1 more source
Mathematics, 2023 A novel local and semi-local convergence theorem for the four-step nonlinear scheme is presented. Earlier studies on local convergence were conducted without particular assumption on Lipschitz constant.
Akanksha Saxena +3 more
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Local Comparison between Two Ninth Convergence Order Algorithms for Equations
Algorithms, 2020 A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence.
Samundra Regmi +2 more
doaj +1 more source
Mathematics, 2022 This article is an independently written continuation of an earlier study with the same title [Mathematics, 2022, 10, 1225] on the Newton Process (NP). This process is applied to solve nonlinear equations. The complementing features are: the smallness of
Samundra Regmi +3 more
doaj +1 more source
Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations
European Journal of Mathematical Analysis, 2021 In this paper we consider unified convergence analysis of two-step iterative methods for solving equations in the Banach space setting. The convergence order four was shown using Taylor expansions requiring the existence of the fifth derivative not on ...
Ioannis K. Argyros
doaj +1 more source
Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 more
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Mathematics, 2022 Numerous three-step methods of high convergence order have been developed to produce sequences approximating solutions of equations usually defined on the Euclidean space with a finite dimension.
Ramandeep Behl +3 more
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