Results 1 to 10 of about 254,669 (213)
Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence
Journal of Numerical Analysis and Approximation Theory, 2021 We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used.
Ioannis K. Argyros, Santhosh George
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I-Statistical Rough Convergence of Order α
Journal of New Theory, 2022 The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
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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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Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 more
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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 order of one regularization method
Mathematical Modelling and Analysis, 2003 The multiscale solution of the Klein‐Gordon equations in the linear theory of (two‐phase) materials with microstructure is defined by using a family of wavelets based on the harmonic wavelets.
S. Guseinov, I. Volodko
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Axioms, 2022 In this paper, we present a high-order approximate solution with uniform accuracy for nonlinear 3D Volterra integral equations. This numerical scheme is constructed based on the three-dimensional block cubic Lagrangian interpolation method.
Zi-Qiang Wang +2 more
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A Newton-like Midpoint Method for Solving Equations in Banach Space
Foundations, 2023 The present paper includes the local and semilocal convergence analysis of a fourth-order method based on the quadrature formula in Banach spaces. The weaker hypotheses used are based only on the first Fréchet derivative.
Samundra Regmi +3 more
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Local convergence of a fifth convergence order method in Banach space
Arab Journal of Mathematical Sciences, 2017 We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
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On (Δm,I)-Statistical Convergence of Order α
The Scientific World Journal, 2014 The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro ...
Mikail Et +2 more
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