Results 11 to 20 of about 1,971 (87)
Journal of Complexity, 2010 The author proposes a lot of new general convergence theorems for the Picard iteration, applied to a mapping \(T\) in a complete metric space. To elaborate this new theory, he uses the concepts of quasi-homogeneous functions, gauge functions of high order, a function of initial conditions of the mapping \(T\), a convergence function of the mapping \(T\)
Petko D Proinov
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Wireless Communication using Unmanned Aerial Vehicles (UAVs): Optimal Transport Theory for Hover Time Optimization [PDF]
, 2017 In this paper, the effective use of flight-time constrained unmanned aerial vehicles (UAVs) as flying base stations that can provide wireless service to ground users is investigated. In particular, a novel framework for optimizing the performance of such
Bennis, Mehdi +3 more
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Finding good starting points for solving equations by Newton's method
Journal of Numerical Analysis and Approximation Theory, 2009 We study the problem of finding good starting points for the semilocal convergence of Newton's method to a locally unique solution of an operator equation in a Banach space setting.
Ioannis K. Argyros
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Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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Discretization of Poincaré map
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We analytically study the relationship between the Poincaré map and its one step discretization. Error estimates are established depending basically on the right hand side function of the investigated ODE and the given numerical scheme. Our basic tool is
Michal Fečkan, S. Kelemen
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, 2017 In this paper, we present and apply a computer-assisted method to study steady states of a triangular cross-diffusion system. Our approach consist in an a posteriori validation procedure, that is based on using a fxed point argument around a numerically ...
Breden, Maxime, Castelli, Roberto
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Third order convergence theorem for a family of Newton like methods in Banach space
Journal of Numerical Analysis and Approximation Theory, 2014 In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.
Tugal Zhanlav, Dorjgotov Khongorzul
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Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
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Positive Polynomials on Riesz Spaces
, 2016 We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that positive, additive mappings are linear.
Cruickshank, James +2 more
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On Nonlinear Vekua Type Equations
Nonlinear Analysis, 2006 Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis. A survey of recent results in the area is presented.
S. V. Rogosin
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