Results 31 to 40 of about 11,230,834 (184)
Inexact Newton-Kantorovich Methods for Constrained Nonlinear Model Predictive Control
, 2018 In this paper we consider Newton-Kantorovich type methods for solving control-constrained optimal control problems that appear in model predictive control. Conditions for convergence are established for an inexact version of the Newton-Kantorovich method
Nicotra, Marco +3 more
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Mathematics, 2022 There are a plethora of semi-local convergence results for Newton’s method (NM). These results rely on the Newton–Kantorovich criterion. However, this condition may not be satisfied even in the case of scalar equations.
Samundra Regmi +3 more
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The convergence theorem for fourth-order super-Halley method in weaker conditions
Journal of Inequalities and Applications, 2016 In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
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Numerical treatment of singularly perturbed unsteady Burger-Huxley equation
Frontiers in Applied Mathematics and Statistics, 2023 This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using the Newton-Raphson-Kantorovich approximation method.
Imiru Takele Daba, Gemechis File Duressa
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The Role of a Priori Estimates in the Method of Non-local Continuation of Solution by Parameter
Известия Иркутского государственного университета: Серия "Математика", 2020 An iterative method for continuation of solutions with respect to a parameter is proposed. The nonlocal case is studied when the parameter belongs to the segment of the real axis.
N.А. Sidorov
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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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PROJECTION-ITERATION REALIZATION OF A NEWTON-LIKE METHOD FOR SOLVING NONLINEAR OPERATOR EQUATIONS
Journal of Optimization, Differential Equations and Their Applications, 2019 We consider the problem of existence and location of a solution of a nonlinear operator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like method
Liudmyla L. Hart
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Mathematics, 2020 The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend
Denis Sidorov +4 more
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Extended convergence results for the Newton-Kantorovich iteration
, 2015 We present new semilocal and local convergence results for the Newton-Kantorovich method. These new results extend the applicability of the Newton-Kantorovich method on approximate zeros by improving the convergence domain and ratio given in earlier ...
Argyros, Ioannis K. +1 more
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Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space
Journal of Applied Mathematics, 2014 We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate.
Rongfei Lin +3 more
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