Results 1 to 10 of about 9,925,195 (289)
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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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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Memory in a New Variant of King’s Family for Solving Nonlinear Systems
Mathematics, 2020 In the recent literature, very few high-order Jacobian-free methods with memory for solving nonlinear systems appear. In this paper, we introduce a new variant of King’s family with order four to solve nonlinear systems along with its convergence ...
Munish Kansal +3 more
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Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations
Axioms, 2023 In this paper, a new parametric class of optimal fourth-order iterative methods to estimate the solutions of nonlinear equations is presented. After the convergence analysis, a study of the stability of this class is made using the tools of complex ...
Alicia Cordero +3 more
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On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space
Algorithms, 2022 A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods.
Ioannis K. Argyros +3 more
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On the Solution of Generalized Banach Space Valued Equations
Mathematics, 2022 We develop a class of Steffensen-like schemes for approximating solution of Banach space valued equations. The sequences generated by these schemes are, converging to the solution under certain hypotheses that are weaker than in earlier studies.
Ramandeep Behl, Ioannis K. Argyros
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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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On the Calculation of the Moore–Penrose and Drazin Inverses: Application to Fractional Calculus
Mathematics, 2021 This paper presents a third order iterative method for obtaining the Moore–Penrose and Drazin inverses with a computational cost of O(n3), where n∈N. The performance of the new approach is compared with other methods discussed in the literature.
Khosro Sayevand +3 more
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Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems
Algorithms, 2023 In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed class under various smooth conditions
Alicia Cordero +3 more
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