Results 51 to 60 of about 713,971 (166)
A smoothing Newton-type method for generalized nonlinear complementarity problem
, 2008 By using a new type of smoothing function, we first reformulate the generalized nonlinear complementarity problem over a polyhedral cone as a smoothing system of equations, and then develop a smoothing Newton-type method for solving it.
Zhang, Xinzhen +2 more
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A Newton-type method for non-linear eigenproblems
, 2017 This work is devoted to computations of invariant pairs associated with separated groups of finite eigenvalues of large regular non-linear matrix pencils.
Kirill V. Demyanko +2 more
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Backward Step Control for Global Newton-Type Methods
SIAM Journal on Numerical Analysis, 2016 Summary: We present and analyze a new damping approach called backward step control for the globalization of the convergence of Newton-type methods for the numerical solution of nonlinear root-finding problems. We provide and discuss reasonable assumptions that imply convergence of backward step control on the basis of generalized Newton paths in ...
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Thresholds of the Inner Steps in Multi-Step Newton Method
, 2017 We investigate the efficiency of multi-step Newton method (the classical Newton method in which the first derivative is re-evaluated periodically after m steps) for solving nonlinear equations, F ( x ) = 0 , F : D ⊆ R n → R n . We highlight
Stefan Maruster
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Newton–Steffensen–Type Method for Perturbed Nonsmooth Subanalytic Variational Inequalities
, 2020 This paper is devoted to Newton–Steffensen–type method for approximating the unique solution of perturbed nonsmooth subanalytic variational inclusion in finite–dimensional spaces. We use a combination of Newton’s method studied by
Saıd Hilout; Poitiers University Laboratoire de Mathematiques et Applications ´ Bd. Pierreet Marie Curie, Teleport 2, B.P. 30179 ´ 86962 Futuroscope Chasseneuil Cedex, +1 more
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Chaotic dynamics of a third-order Newton-type method
, 2010 The dynamics of a classical third-order Newton-type iterative method is studied when it is applied to degrees two and three polynomials. The method is free of second derivatives which is the main limitation of the classical third-order iterative schemes ...
Busquier, S., Plaza, S., Amat, S.
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A Newton Type Iterative Method with Fourth-order Convergence
, 2017 The aim of this paper is to propose a fourth-order Newton type iterative method for solving nonlinear equations in a single variable. We obtained this method by combining the iterations of contra harmonic Newton’s method with secant method.
Jivandhar Jnawali
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Sharp error bounds for a Newton-Moser type method
, 1984 Nello studio della convergenza di un metodo iterativo di tipo Newtoniano, noto come metodo di tipo Newton-Moser, viene impiegata una tecnica di analisi che consente di ottenere delle maggiorazioni, a posteriori, degli errori in senso stretto.The ...
MORET, IGOR
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, 1982 Newton's method plays a central role in the development of numerical techniques for optimization. In fact, most of the current practical methods for optimization can be viewed as variations on Newton's method.
More, J. J., Sorensen, D. C.
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Interval methods of Newton type for nonlinear equations
, 1983 Es sei f:[a,b]\(\subset {\mathbb{R}}\to {\mathbb{R}}\); zu bestimmen ist eine Nullstelle \(x^*\in [a,b]\) mit \(f(x^*)=0\). Dazu werden zwei Intervall- Newton-Verfahren angegeben und ihre Verwirklichung durch eine passende, einseitig rundende Computer-Arithmetik beschrieben.
Dimitrova, Neli S., Markov, Svetoslav M.
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