Results 1 to 10 of about 80 (71)
Extending the radius of convergence for a class of Euler-Halley type methods
Journal of Numerical Analysis and Approximation Theory, 2019 The aim of this paper is to extend the radius of convergence and improve the ratio of convergence for a certain class of Euler-Halley type methods with one parameter in a Banach space.
Santhosh George, Ioannis K Argyros
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Taiwanese Journal of Mathematics, 2010 The family of Euler-Halley type methods is extended for sections on Riemannian manifolds. Its convergence criterion is established under the assumption that the sections’ covariant derivatives satisfy a kind of Lipschitz condition. Applications to special cases such as the classical Kantorovich’s type condition, the γ-condition, Smale’s analysis ...
Jin-Hua Wang
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Wilkinson Polynomials: Accuracy Analysis Based on Numerical Methods of the Taylor Series Derivative
Desimal, 2020 Some of the numeric methods for solutions of non-linear equations are taken from a derivative of the Taylor series, one of which is the Newton-Raphson method. However, this is not the only method for solving cases of non-linear equations.
Vera Mandailina +4 more
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Taiwanese Journal of Mathematics, 2009 A convergence criterion of the family of Euler-Halley type methods for the vector fields on Riemannian manifolds whose covariant derivatives satisfy the $\gamma$-condition is established. The corresponding results due to [12] are extended. An application to analytic vector fields is provided.
Wang, Jin-Hua, Li, Chong
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High order iterative methods for decomposition‐coordination problems
Technological and Economic Development of Economy, 2006 Many real‐life optimization problems are of the multiobjective type and highdimensional. Possibilities for solving large scale optimization problems on a computer network or multiprocessor computer using a multi‐level approach are studied.
Otu Vaarmann
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A convergence analysis of an iterative algorithm of order \(1.839\ldots\) under weak assumptions
Journal of Numerical Analysis and Approximation Theory, 2003 We provide new and weaker sufficient local and semilocal conditions for the convergence of a certain iterative method of order 1.839\(\ldots\) to a solution of an equation in a Banach space.
Ioannis K. Argyros
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SARS-CoV-2 mutational cascades and the risk of hyper-exponential growth. [PDF]
Microb Pathog, 2021 Halley JM, Vokou D, Pappas G, Sainis I.
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Natural dynamical reduction of the three-body problem. [PDF]
Celest Mech Dyn Astron, 2023 Kol B.
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A nanoscale DNA force spectrometer capable of applying tension and compression on biomolecules. [PDF]
Nucleic Acids Res, 2021 Wang Y +10 more
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A Computational Quantum-Based Perspective on the Molecular Origins of Life's Building Blocks. [PDF]
Entropy (Basel), 2022 Amante G +4 more
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