Results 1 to 10 of about 1,893 (124)
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
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To the generalization of the Newton-Kantorovich theorem.
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2017 Constructive conditions for solvability are obtained, as well as an iterative scheme for finding solutions of the nonlinear equation that generalize the well-known Newton-Kantorovich theorem.
S. M. Chuiko
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Journal of Complexity, 2010 The author proposes a lot of new general convergence theorems for the Picard iteration, applied to a mapping \(T\) in a complete metric space. To elaborate this new theory, he uses the concepts of quasi-homogeneous functions, gauge functions of high order, a function of initial conditions of the mapping \(T\), a convergence function of the mapping \(T\)
Petko D Proinov
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A Newton-Kantorovich-SOR type theorem
Open Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Finta Béla
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Extended Newton–Kantorovich Theorem for Solving Nonlinear Equations
Foundations, 2022 The Newton–Kantorovich theorem for solving Banach space-valued equations is a very important tool in nonlinear functional analysis. Several versions of this theorem have been given by Adley, Argyros, Ciarlet, Ezquerro, Kantorovich, Potra, Proinov, Wang, et al. This result, e.g., establishes the existence and uniqueness of the solution.
Samundra Regmi +3 more
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Applied Mathematics and Computation, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J A Ezquerro +2 more
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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
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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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Newton-Kantorovich convergence theorem of a new modified Halley’s method family in a Banach space [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Rongfei +4 more
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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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