Results 61 to 70 of about 13,152,720 (196)
Parallel Asynchronous Modified Newton Methods for Network Flows [PDF]
2015 IEEE International Parallel and Distributed Processing Symposium Workshop, 2015 We consider single commodity strictly convex network flow problems. The dual problem is unconstrained, differentiable and well suited for solution via parallel iterative methods. We propose and prove convergence of parallel asynchronous modified Newton algorithms for solving the dual problem.
Didier El Baz, Moussa Elkihel
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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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New Modification of Behl's Method Free from Second Derivative with an Optimal Order of Convergence
InPrime, 2019 Behl’s method is one of the iterative methods to solve a nonlinear equation that converges cubically. In this paper, we modified the iterative method with real parameter β using second Taylor’s series expansion and reduce the second derivative of the ...
Wartono Wartono +2 more
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A Modified Hestenes-Stiefel-Type Derivative-Free Method for Large-Scale Nonlinear Monotone Equations
Mathematics, 2020 The goal of this paper is to extend the modified Hestenes-Stiefel method to solve large-scale nonlinear monotone equations. The method is presented by combining the hyperplane projection method (Solodov, M.V.; Svaiter, B.F.
Zhifeng Dai, Huan Zhu
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, 1979 In this thesis a new class of methods for solving power system load flows is developed, which is called the alpha-modified quasi-second order Newton-Raphson (alpha - M.Q.S.O.N.R.) class.
Wellon, Oliver Keith
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Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan [PDF]
, 2023 The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article.
Hassan, Nurul Shayiddatul Asma
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A modified Newton method with cubic convergence: The multivariate case
, 2004 Recently, a modification of the Newton method for finding a zero of a univariate function with local cubic convergence has been introduced. Here, we extend this modification to the multi-dimensional case, i.e., we introduce a modified Newton method for ...
Homeier, H. H. H.
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A Newton Method for Linear Programming [PDF]
, 2002 A fast Newton method is proposed for solving linear programs with a very large ( 106) number of constraints and a moderate ( 102) number of variables. Such linear programs occur in data mining and machine learning.
O. L. Mangasarian, Mangasarian, Olvi
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Trusses Nonlinear Problems Solution with Numerical Methods of Cubic Convergence Order
Trends in Computational and Applied Mathematics, 2018 A large part of the numerical procedures for obtaining the equilibrium path or load-displacement curve of structural problems with nonlinear behavior is based on the Newton-Raphson iterative scheme, to which is coupled the path-following methods.
Luiz Antonio Farani de Souza +4 more
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Improving order and efficiency: Composition with a modified Newton’s method
Journal of Computational and Applied Mathematics, 2009 The author presents a new zero-finding technique for solving nonlinear equations more efficiently in which the order of convergence is improved. The main idea is to compose a given iterative method with a modified Newton's method. The order of the convergence can be doubled while only one additional evaluation of the function is necessary.
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