Results 21 to 30 of about 1,995 (109)
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
core +4 more sources
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
doaj +2 more sources
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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Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem [PDF]
, 2018 We present an adaptation of the MA-LBR scheme to the Monge-Amp{\`e}re equation with second boundary value condition, provided the target is a convex set.
Benamou, Jean-David, Duval, Vincent
core +5 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
On Newton‐Kantorovich Method for Solving the Nonlinear Operator Equation
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 We develop the Newton‐Kantorovich method to solve the system of 2 × 2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval. The existence and uniqueness of approximate solution are proved and a numerical example is provided
Hameed Husam Hameed +4 more
wiley +1 more source
A simplified proof of the Kantorovich theorem for solving equations using telescopic series
Journal of Numerical Analysis and Approximation Theory, 2015 We extend the applicability of the Kantorovich theorem (KT) for solving nonlinear equations using Newton-Kantorovich method in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
doaj +2 more sources