Results 21 to 30 of about 312,475 (283)
Semi-local convergence of the Newton-HSS method under the center Lipschitz condition
Numerical Algebra, Control & Optimization, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong, Hongxiu +2 more
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Improved semi-local convergence of the Gauss-Newton method for systems of equations
Journal of Mathematical Sciences and Modelling, 2018 Our new technique of restricted convergence domains is employed to provide a finer convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition. The advantages are obtained under the
Santhosh George, İoannis K Argyros
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Computational Optimization and Applications, 2019 We consider in this paper an infeasible predictor–corrector primal–dual path following interior point algorithm using the Nesterov–Todd search direction to solve semi-definite linear complementarity problems.
Chee-Khian Sim
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SEMI-LOCAL CONVERGENCE OF A SEVENTH-ORDER METHOD IN BANACH SPACES UNDER ω-CONTINUITY CONDITION [PDF]
Surveys in Mathematics and its Applications, 2020 The article is about the analysis of semi-local convergence of a seventh-order iterative method used for finding the roots of a nonlinear equation in Banach spaces.
Neha Gupta, Jai Prakash Jaiswal
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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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On the convergence of Kurchatov-type methods using recurrent functions for solving equations
Математичні Студії, 2022 We study a local and semi-local convergence of Kurchatov's method and its two-step modification for solving nonlinear equations under the classical Lipschitz conditions for the first-order divided differences. To develop a convergence analysis we use the
I. K. Argyros, S. Shakhno, H. Yarmola
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Extended Convergence of Two Multi-Step Iterative Methods
Foundations, 2023 Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solution of
Samundra Regmi +3 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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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
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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
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