Results 31 to 40 of about 9,082,480 (262)
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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A semi-local convergence theorem for a robust revised Newton’s method
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhengyu Wang, Xinyuan Wu
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Extended Kung–Traub Methods for Solving Equations with Applications
Mathematics, 2021 Kung and Traub (1974) proposed an iterative method for solving equations defined on the real line. The convergence order four was shown using Taylor expansions, requiring the existence of the fifth derivative not in this method. However, these hypotheses
Samundra Regmi +4 more
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Numerical Processes for Approximating Solutions of Nonlinear Equations
Axioms, 2022 In this article, we present generalized conditions of three-step iterative schemes for solving nonlinear equations. The convergence order is shown using Taylor series, but the existence of high-order derivatives is assumed.
Samundra Regmi +3 more
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On the Ostrowski Method for Solving Equations
European Journal of Mathematical Analysis, 2021 In this paper, we revisited the Ostrowski's method for solving Banach space valued equations. We developed a technique to determine a subset of the original convergence domain and using this new Lipschitz constants derived.
Ioannis K. Argyros +2 more
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On convergence of the maximum block improvement method [PDF]
, 2015 . The MBI (maximum block improvement) method is a greedy approach to solving optimization problems where the decision variables can be grouped into a finite number of blocks. Assuming that optimizing over one block of variables while fixing all others is
Shuzhong Zhang +5 more
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Extended domain for fifth convergence order schemes
Cubo, 2021 We provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations.
Ioannis K. Argyros, Santhosh George
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On semi-convergence of modified HSS iteration methods
, 2013 We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In
陈芳, 刘青泉
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Enhancing Equation Solving: Extending the Applicability of Steffensen-Type Methods
Mathematics, 2023 Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods.
Ramandeep Behl +2 more
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Multistep Iterative Methods for Solving Equations in Banach Space
MathematicsThe novelty of this article lies in the fact that we extend the use of a multistep method for developing a sequence whose limit solves a Banach space-valued equation. We suggest the error estimates, local convergence, and semi-local convergence, a radius
Ramandeep Behl +4 more
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