Results 11 to 20 of about 7,885 (185)
An accelerated version of Newton’s method with convergence order 3+1
Results in Applied Mathematics, 2019 A root-finding method is developed that, like Newton’s Method, evaluates both the function and its first derivative once per iteration, but the new method converges at the rate 3+1, and moreover, it’s asymptotic error constant is proportional to the ...
Trevor J. McDougall +2 more
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On a Convex Acceleration of Newton's Method [PDF]
, 1999 In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and ...
J. A. Ezquerro +3 more
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J. Mach. Learn. Res., 2017 Many machine learning models involve solving optimization problems. Thus, it is important to deal with a large-scale optimization problem in big data applications. Recently, subsampled Newton methods have emerged to attract much attention due to their efficiency at each iteration, rectified a weakness in the ordinary Newton method of suffering a high ...
Ye, Haishan, Luo, Luo, Zhang, Zhihua
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Relaxing Convergence Conditions for Newton's Method [PDF]
, 2000 The classical Kantorovich theorem on Newton's method assumes that the first derivative of the operator involved satisfies a Lipschitz condition ‖Γ0[F′(x)−F′(y)]‖≤L‖x−y‖.
Hernández, M.A. [0000-0001-5478-2958] +1 more
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Newton's method under weak Kantorovich conditions [PDF]
, 2000 The classical Kantorovich theorem on Newton's method assumes that the derivative of the operator involved satisfies a Lipschitz condition ∥F′(x) - F′(y)∥ ≤ L∥x - y∥. In this paper we weaken this condition, assuming that ∥F′(x) - F′(x 0)∥ ≤ L∥x - x 0∥ for
Gutiérrez, J.M. [0000-0002-0434-7250] +1 more
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Can we know what Newton's scientific method is? [PDF]
روش شناسی علوم انسانی, 2020 I have tried to retrieve Newton’s scientific method. To do so, I raise two principal questions: 1. What is Newton’s evolving scientific method that he devised in The Principia and Opticks during a period of fifty years? 2.
saeid zibakalam
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An acceleration of Newton's method: Super-Halley method [PDF]
, 2001 From a study of the convexity we give an acceleration for Newton's method and obtain a new third order method. Then we use this method for solving non-linear equations in Banach spaces, establishing conditions on convergence, existence and uniqueness of ...
Gutiérrez, J.M. [0000-0002-0434-7250] +1 more
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Computing Weighted Analytic Center for Linear Matrix Inequalities Using Infeasible Newton’s Method
Journal of Mathematics, 2015 We study the problem of computing weighted analytic center for system of linear matrix inequality constraints. The problem can be solved using Standard Newton’s method.
Shafiu Jibrin
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Improved semi-local convergence of the Gauss-Newton method for systems of equations
Journal of Mathematical Sciences and Modelling, 2018 Our new technique of restricted convergence domains is employed to provide a finer convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition. The advantages are obtained under the
Santhosh George, İoannis K Argyros
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