Results 1 to 10 of about 220,118 (258)
Bruno Pini Mathematical Analysis Seminar, 2020 We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capillarity problems.
Serena Dipierro +2 more
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Local Convergence of Exquerro-Hernandez Method [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
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Study of a High Order Family: Local Convergence and Dynamics
Mathematics, 2019 The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a center-Lipschitz condition where the
Cristina Amorós +5 more
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces
Mathematics, 2021 We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar +3 more
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Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of Equation Solvers
Fractal and Fractional, 2021 In this article, we suggest the local analysis of a uni-parametric third and fourth order class of iterative algorithms for addressing nonlinear equations in Banach spaces.
Debasis Sharma +3 more
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Mathematics, 2021 The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena +4 more
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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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Foundations, 2023 We carried out a local comparison between two ninth convergence order schemes for solving nonlinear equations, relying on first-order Fréchet derivatives.
Ioannis K. Argyros +2 more
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Ball Comparison between Two Efficient Weighted-Newton-like Solvers for Equations
Foundations, 2022 We compare the convergence balls and the dynamical behaviors of two efficient weighted-Newton-like equation solvers by Sharma and Arora, and Grau-Sánchez et al.
Ioannis K. Argyros +3 more
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