Results 21 to 30 of about 827,272 (299)
Mathematics, 2023 In recent years, some Newton-type schemes with noninteger derivatives have been proposed for solving nonlinear transcendental equations by using fractional derivatives (Caputo and Riemann–Liouville) and conformable derivatives.
Giro Candelario +3 more
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On a Newton‐Type Method for Differential‐Algebraic Equations [PDF]
Journal of Applied Mathematics, 2012 This paper deals with the approximation of systems of differential‐algebraic equations based on a certain error functional naturally associated with the system. In seeking to minimize the error, by using standard descent schemes, the procedure can never get stuck in local minima but will always and steadily decrease the error until getting to the ...
Sergio Amat +2 more
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Newton-type Methods for Minimax Optimization
CoRR, 2020 Differential games, in particular two-player sequential zero-sum games (a.k.a. minimax optimization), have been an important modeling tool in applied science and received renewed interest in machine learning due to many recent applications, such as adversarial training, generative models and reinforcement learning.
Guojun Zhang +3 more
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DINO: Distributed Newton-Type Optimization Method [PDF]
, 2020 We present a novel communication-efficient Newton-type algorithm for finite-sum optimization over a distributed computing environment. Our method, named DINO, overcomes both theoretical and practical shortcomings of similar existing methods. Under minimal assumptions, we guarantee global sub-linear convergence of DINO to a first-order stationary point ...
Crane, Rixon, Roosta, Fred
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Newton-Type Methods for Solution of the Electric Network Equations
Trends in Computational and Applied Mathematics, 2002 Electric newtork equations give rise to interesting mathematical models that must be faced with efficient numerical optimization techniques. Here, the classical power flow problem represented by a nonlinear system of equations is solved by inexact Newton
L.V. BARBOSA +2 more
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On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient
Mathematics, 2023 The main results of the study of the convergence rate of quasi-Newton minimization methods were obtained under the assumption that the method operates in the region of the extremum of the function, where there is a stable quadratic representation of the ...
Vladimir Krutikov +3 more
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A Family of Newton Type Iterative Methods for Solving Nonlinear Equations
Algorithms, 2015 In this paper, a general family of n-point Newton type iterative methods for solving nonlinear equations is constructed by using direct Hermite interpolation.
Xiaofeng Wang +4 more
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Some approximate Gauss–Newton-type methods for nonlinear ill-posed problems; pp. 227–237 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 This paper treats numerical methods for solving the nonlinear ill-posed equation F(x) = 0, where the operator F is a Fréchet differentiable operator from one Hilbert space into another Hilbert space.
Inga Kangro, Raul Kangro, Otu Vaarmann
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Mathematics, 2020 In the recent literature, some fractional one-point Newton-type methods have been proposed in order to find roots of nonlinear equations using fractional derivatives.
Giro Candelario +2 more
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A New Globally Convergent Self-Scaling Vm Algorithm for Convex and Nonconvex Optimization [PDF]
Kirkuk Journal of Science, 2011 In unconstrained optimization, the original quasi-Newton condition where is the difference of the gradients at two successive iterations. Li and Fukushima proposed a modified BFGS methods based on a new Quasi –Newton equation where , where is a
Abbas Y. AL-Bayati, Basim A. Hassan
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