Results 21 to 30 of about 1,768,757 (251)
On maximal Kn domains for certain families of rational functions
Lietuvos Matematikos Rinkinys, 2008 Let Kn(D) be a class of analytic in domain D functions such that [F(z); z0,...,zn] for any z0,...,zn ∈ D. The domain D is called by maximal Kn-domain of the family T of functions which are analytic in D, if for any neighborhood ε(ψ) of any boundary ...
Jevgenij Kiriyatzkii, Eduard Kiriyatzkii
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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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A Maximum Correntropy Divided Difference Filter for Cooperative Localization
IEEE Access, 2018 This paper derives a new maximum correntropy divided difference filter (DDF) to address the heavy-tailed measurement noise induced by non-Gaussian measurements in cooperative localization of autonomous underwater vehicles.
Chengjiao Sun +3 more
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Semilocal Convergence of the Extension of Chun’s Method
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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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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, 2005 Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences.
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Finitely defined functionals and divided differences
Journal of Numerical Analysis and Approximation Theory, 2004 We give a necessary and sufficient condition for representing finitely defined functionals in terms of divided differences. As particular cases we obtain formulas of Tiberiu Popoviciu, Newton, etc.
Mircea Ivan
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Extended Newton-type Method for Generalized Equations with Hölderian Assumptions
Communications in Advanced Mathematical Sciences, 2021 In the present paper, we consider the generalized equation $0\in f(x)+g(x)+\mathcal F(x)$, where $f:\mathcal X\to \mathcal Y$ is Fr\'{e}chet differentiable on a neighborhood $\Omega$ of a point $\bar{x}$ in $\mathcal X$, $g:\mathcal X\to \mathcal Y$ is ...
Mohammed Harunor Rashid +1 more
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Journal of Mathematical Analysis and Applications, 1995 Let \(f\) be \(C^{2n}\) on the positive half line with nonzero \(2n\)th derivative and let \(L_ n\) be the limit of the \((2n- 1)\)st divided difference when \(n\) variables tend to \(a\) and \(n\) to \(b\). This paper examines which mean values of \(a\) and \(b\), substituted into \((1/(2n- 1)!) f^{(2n- 1)}\), give \(L_ n\). In much of the paper \(f(x)
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