Results 61 to 70 of about 11,230,834 (184)
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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Newton-Kantorovich-Vietoris method
, 2017 In this short work we consider nonlinear equation in Banach space $x = A(x)$. We combine classical Newton method with Vietoris method to propose new more general method. Under rather general conditions about the noise we investigate local convergence of the method.
openaire +2 more sources
Solving Large‐Scale Unconstrained Optimization Problems with an Efficient Conjugate Gradient Class
Journal of Mathematics, Volume 2024, Issue 1, 2024.The main goal of this paper is to introduce an appropriate conjugate gradient class to solve unconstrained optimization problems. The presented class enjoys the benefits of having three free parameters, its directions are descent, and it can fulfill the Dai–Liao conjugacy condition.
Sanaz Bojari +2 more
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Materials Research, 2013 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
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, 2013 textRoot-finding algorithms have been studied for ages for their various applications. Newton's Method is just one of these root-finding algorithms.
Banacka, Nicole Lynn
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A modified Newton-secant method for solving nonsmooth generalized equations
Mathematical Modelling and AnalysisIn this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral +3 more
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Extending the Newton–Kantorovich hypothesis for solving equations [PDF]
, 2010 The famous Newton–Kantorovich hypothesis (Kantorovich and Akilov, 1982 [3], Argyros, 2007 [2], Argyros and Hilout, 2009 [7]) has been used for a long time as a sufficient condition for the convergence of Newton’s method to a solution of an equation in ...
Argyros, Ioannis K., Hilout, Saïd
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Markov chain Mote Carlo solution of BK equation through Newton-Kantorovich method [PDF]
, 2013 We propose a new method for Monte Carlo solution of non-linear integral equations by combining the Newton-Kantorovich method for solving non-linear equations with the Markov Chain Monte Carlo (MCMC) method for solving linear equations.
Krzysztof Kutak +5 more
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MathematicsThe paper addresses an inverse problem for a nonlinear Volterra integral equation of the first kind with a piecewise continuous kernel whose discontinuity curves are the unknown functions.
Aleksandr N. Tynda +3 more
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Numerical treatment of the nonlinear Fredholm integral equation by Newton-Kantorovich method
, 2022 In this work, we apply the Newton-Kantorovich method to solve the nonlinear Fred holm integral equation, we look for an approximate solution for nonlinear Fredholm integral equation of the second kind using a combination between Newton-Kantorovich ...
HAFFAF, Nada, Supervisor: GUECHI, Somia
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