Results 51 to 60 of about 2,871 (179)
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
doaj +1 more source
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
doaj +1 more source
Microwave imaging techniques for biomedical applications [PDF]
, 1999 Microwaves have been considered for medical applications involving the detection of organ movements and changes in tissue water content. More particularly cardiopulmonary interrogation via microwaves has resulted in various sensors monitoring ventricular
Bolomey, Jean Charles +8 more
core +1 more source
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 +1 more source
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
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The problem of torsion of a bar with circular cross-section is considered. The bar is made of the material with a stress-strain diagram having the falling branch describing the softening state.
Valery V Struzhanov, Elena A Bakhareva
doaj +3 more sources
Numerical solution of falkner-skan equation by iterative transformation method
Mathematical Modelling and Analysis, 2018 In this paper, we study the nonlinear boundary-layer equation of Falkner-Skan defined on a semi-infinite domain. An iterative finite difference (IFD) scheme is proposed to numerically solve such nonlinear ordinary differential equation.
Helmi Temimi, Mohamed Ben-Romdhane
doaj +1 more source
New and Generalized Convergence Conditions for the Newton-Kantorovich Method [PDF]
Journal of Applied Analysis, 2003 For a nonlinear operator equation on a Banach space a semilocal convergence theorem for Newton's method is proved using a majorant principle. This is shown to provide some weakening of the usual results based on Lipschitz conditions. Few connections are made to the literature on other related work involving majorization techniques.
openaire +2 more sources
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
Kuwait Journal of Science, 2023 Solving functional nonlinear equations leads to the question: which to begin with, linearization or discretization? Recent papers confirmed that linearizing then discretizing (L.D) is better.
Ilyes Sedka +2 more
doaj +1 more source