Results 11 to 20 of about 11,828,995 (144)
On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation [PDF]
Abstract and Applied Analysis, 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.
Hameed Husam Hameed +3 more
doaj +5 more sources
Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method [PDF]
Applied Mathematics and Computation, 2010 The authors consider a system of nonlinear Volterra integral equations, which is solved by successive approximations. A result on the convergence rate of the approximate solution is presented, and some numerical examples are discussed.
Anvarjon Akhmedov, N M A Nik Long
exaly +6 more sources
Inexact Newton–Kantorovich Methods for Constrained Nonlinear Model Predictive Control
IEEE Transactions on Automatic Control, 2019 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 applied to variational inequalities. Based on these results, two groups of algorithms are proposed
Ilya V. Kolmanovsky +2 more
exaly +3 more sources
Materials Research, 2012 A semi-analytical approach for analysis of laminated plates with general boundary conditions under a general distribution of loads is developed. The non-linear equations are solved by the Newton-Kantorovich-Quadrature (NKQ) method which is a combination ...
Rasoul Khandan +4 more
doaj +2 more sources
Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces [PDF]
Abstract and Applied Analysis, 2013 Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin +4 more
doaj +2 more sources
A modification of the classic conditions of Newton–Kantorovich for Newton’s method
Mathematical and Computer Modelling, 2013 Abstract We study the semilocal convergence of Newton’s method in Banach spaces under a modification of the classic conditions of Kantorovich, which leads to a generalization of Kantorovich’s theory. We illustrate this study with two Hammerstein integral equations of the second kind, where the classic conditions of Kantorovich cannot be applied, but ...
M A Hernández, J A Ezquerro
exaly +3 more sources
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018 Constructive conditions for the existence of a nonlinear Noether integral-differential boundary value problem are found. An iterative scheme with quadratic convergence is constructed to find the solution of a nonlinear integral-differential boundary ...
С. М. Чуйко +2 more
doaj +3 more sources
Solving system of nonlinear integral equations by Newton-Kantorovich method [PDF]
AIP Conference Proceedings, 2014 Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator.
Hameed Husam Hameed +3 more
openaire +3 more sources
Estimates of majorizing sequences in the Newton–Kantorovich method: A further improvement
Journal of Mathematical Analysis and Applications, 2006 Majorizing sequences, a widespread tool to estimate the convergence of the Newton-Kantorovich method, are studied for operators with Hölder continuous derivatives. The authors improve their previous estimate on the convergence of a proper majorizing sequence.
Filomena Cianciaruso
exaly +4 more sources
Solving nonlinear integral equations in the Urysohn form by Newton–Kantorovich–quadrature method
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafar Saberi-Nadjafi, Mahdi Heidari
exaly +4 more sources