Results 21 to 30 of about 253,815 (263)
Local convergence for composite Chebyshev-type methods
Communications in Advanced Mathematical Sciences, 2018 We replace Chebyshev's method for solving equations requiring the second derivative by a Chebyshev-type second derivative free method. The local convergence analysis of the new method is provided using hypotheses only on the first derivative in contrast ...
Santhosh George, İoannis K Argyros
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Ain Shams Engineering Journal, 2021 In this note, we propose a modification as an alternative to remove the assumption of uniformly monotone as assumed in Aliyu et al. (2019). Numerical experiment shows that the modification improves the numerical performance of the method.
Abdulkarim Hassan Ibrahim, Poom Kumam
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Derivative free iterative methods for nonlinear systems
Applied Mathematics and Computation, 2015 This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-SP-2012-0498 and PAID-SP-2012-0474.
Hueso Pagoaga, José Luís +2 more
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Wedge trust region methods for derivative free optimization [PDF]
Mathematical Programming, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marazzi, Marcelo, Nocedal, Jorge
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A derivative-free root-finding algorithm using exponential method and its implementation
BMC Research Notes, 2023 Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast.
Srinivasarao Thota +3 more
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Hybridization of Multi-Objective Deterministic Particle Swarm with Derivative-Free Local Searches
Mathematics, 2020 The paper presents a multi-objective derivative-free and deterministic global/local hybrid algorithm for the efficient and effective solution of simulation-based design optimization (SBDO) problems.
Riccardo Pellegrini +5 more
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Mathematics, 2023 High-order iterative techniques without derivatives for multiple roots have wide-ranging applications in the following: optimization tasks, where the objective function lacks explicit derivatives or is computationally expensive to evaluate; engineering ...
Sunil Kumar +2 more
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Discrete Gradient Method: Derivative-Free Method for Nonsmooth Optimization
Journal of Optimization Theory and Applications, 2007 The paper of A. M. Bagirov, B. Karasözen and M. Sezer is a valuable contribution to the numerical-algorithmical part of unconstrained continuous optimization, in fact, to its nonsmooth version, and the corresponding theory is provided, too. It stands in the tradition of nonsmooth analysis and optimization, but it benefits from some insight and ...
Bagirov, A. M. +2 more
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Journal of Inequalities and Applications, 2020 In this paper, we present a class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations. The methods combine the RMIL conjugate gradient method, the strategy of hyperplane projection and the derivative-free ...
Xiaowei Fang
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Derivative-Free Methods for Mixed-Integer Constrained Optimization Problems [PDF]
Journal of Optimization Theory and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giampaolo Liuzzi +2 more
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