Results 21 to 30 of about 8,180,306 (262)
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
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On the semi-local convergence of a sixth order method in Banach space
Journal of Numerical Analysis and Approximation Theory, 2022 High convergence order methods are important in computational mathematics, since they generate sequences converging to a solution of a non-linear equation.
Ioannis K Argyros +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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Unified Semi-Local Convergence for k—Step Iterative Methods with Flexible and Frozen Linear Operator [PDF]
Mathematics, 2018 The aim of this article is to present a unified semi-local convergence analysis for a k-step iterative method containing the inverse of a flexible and frozen linear operator for Banach space valued operators. Special choices of the linear operator reduce the method to the Newton-type, Newton’s, or Stirling’s, or Steffensen’s, or other methods.
Santhosh George, Ioannis K Argyros
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Journal of Computational and Applied Mathematics, 2015 A semi-local analysis of Newton's method for solving nonlinear inclusion problems in Banach space is presented in this paper. Under a affine majorant condition on the nonlinear function which is associated to the inclusion problem, the robust convergence of the method and results on the convergence rate are established.
O P Ferreira
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Local and semi-local convergence analysis of a multi-step method [PDF]
Electronic Journal of MathematicsIoannis K. Argyros +3 more
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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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On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations [PDF]
Symmetry, 2021 Symmetries play a crucial role in the dynamics of physical systems. As an example, microworld and quantum physics problems are modeled on principles of symmetry. These problems are then formulated as equations defined on suitable abstract spaces. Then, these equations can be solved using iterative methods.
Christopher I. Argyros +4 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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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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