Results 1 to 10 of about 677,232 (187)
Semilocal Convergence of the Extension of Chun’s Method [PDF]
Axioms, 2021 In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method.
Alicia Cordero +4 more
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Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions [PDF]
The Scientific World Journal, 2015 Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt
Yueqing Zhao +5 more
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Extended semilocal convergence for the Newton- Kurchatov method
Математичні Студії, 2020 We provide a semilocal analysis of the Newton-Kurchatov method for solving nonlinear equations involving a splitting of an operator. Iterative methods have a limited restricted region in general.
H.P. Yarmola +2 more
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Mathematics, 2022 To deal with the estimation of the locally unique solutions of nonlinear systems in Banach spaces, the local as well as semilocal convergence analysis is established for two higher order iterative methods. The given methods do not involve the computation
Janak Raj Sharma +2 more
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A highly accurate family of stable and convergent numerical solvers based on Daftardar–Gejji and Jafari decomposition technique for systems of nonlinear equations [PDF]
MethodsXThis study introduces a family of root-solvers for systems of nonlinear equations, leveraging the Daftardar–Gejji and Jafari Decomposition Technique coupled with the midpoint quadrature rule.
Sania Qureshi +4 more
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Mathematics, 2021 In this paper, we construct and study a new family of multi-point Ehrlich-type iterative methods for approximating all the zeros of a uni-variate polynomial simultaneously.
Petko D. Proinov, Milena D. Petkova
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A New Family of High-Order Ehrlich-Type Iterative Methods
Mathematics, 2021 One of the famous third-order iterative methods for finding simultaneously all the zeros of a polynomial was introduced by Ehrlich in 1967. In this paper, we construct a new family of high-order iterative methods as a combination of Ehrlich’s iteration ...
Petko D. Proinov, Maria T. Vasileva
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Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions
Computation, 2020 The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences ...
Ioannis K. Argyros +2 more
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Fractal and Fractional, 2023 Local convergence of order three has been established for the Newton–Simpson method (NS), provided that derivatives up to order four exist. However, these derivatives may not exist and the NS can converge.
Santhosh George +4 more
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Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces
Complexity, 2018 The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. The recurrence relations are derived under weaker conditions on the operator. For semilocal convergence,
Abhimanyu Kumar +3 more
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