Results 1 to 10 of about 305,961 (299)
Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations
Fractal and Fractional, 2023 In this manuscript, we use approximations of conformable derivatives for designing iterative methods to solve nonlinear algebraic or trascendental equations.
Giro Candelario +3 more
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On the Global Convergence of Derivative-Free Methods for Unconstrained Optimization [PDF]
SIAM Journal on Optimization, 2002 This paper establishes a general convergence theory for unconstrained optimization without derivatives. The authors present new globally convergent algorithms which combine pattern and line search approaches.
Stefano Lucidi, Marco Sciandrone
exaly +9 more sources
A derivative-free Gauss–Newton method [PDF]
Mathematical Programming Computation, 2019 We present DFO-GN, a derivative-free version of the Gauss-Newton method for solving nonlinear least-squares problems. As is common in derivative-free optimization, DFO-GN uses interpolation of function values to build a model of the objective, which is then used within a trust-region framework to give a globally-convergent algorithm requiring $O(ε^{-2})
Roberts, L, Cartis, C
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Convergence of derivative free iterative methods [PDF]
Creative Mathematics and Informatics, 2019 We present the local as well as the semi-local convergence of some iterative methods free of derivatives for Banach space valued operators. These methods contain the secant and the Kurchatov method as special cases. The convergence is based on weak hypotheses specializing to Lipschitz continuous or Holder continuous hypotheses.
Ioannis K. Argyros, Santhosh George
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Two Efficient Derivative-Free Iterative Methods for Solving Nonlinear Systems
Algorithms, 2016 In this work, two multi-step derivative-free iterative methods are presented for solving system of nonlinear equations. The new methods have high computational efficiency and low computational cost.
Xiaofeng Wang, Xiaodong Fan
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A Feasible Method for Constrained Derivative-Free Optimization [PDF]
Operations Research LettersThis paper explores a method for solving constrained optimization problems when the derivatives of the objective function are unavailable, while the derivatives of the constraints are known. We allow the objective and constraint function to be nonconvex.
Melody Qiming Xuan, Jorge Nocedal
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Derivative-Free Kurchatov-Type Accelerating Iterative Method for Solving Nonlinear Systems: Dynamics and Applications [PDF]
Fractal and Fractional, 2022 Two novel Kurchatov-type first-order divided difference operators were designed, which were used for constructing the variable parameter of three derivative-free iterative methods. The convergence orders of the new derivative-free methods are 3, (5+17)/2≈
Xiaofeng Wang, Xiaohe Chen
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space [PDF]
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Proceedings of the Mongolian Academy of SciencesIn this article, we introduce a unified approach to constructing a higher-order derivative-free scheme based on the approximations of F'(zk)-1. A family of order p=6,7 derivative-free method is proposed and compared to some well-known methods.
Tugal Zhanlav +3 more
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A Derivative-Free Method for Structured Optimization Problems [PDF]
SIAM Journal on Optimization, 2021 Structured optimization problems are ubiquitous in fields like data science and engineering. The goal in structured optimization is using a prescribed set of points, called atoms, to build up a solution that minimizes or maximizes a given function. In the present paper, we want to minimize a black-box function over the convex hull of a given set of ...
Cristofari A., Rinaldi F.
openaire +5 more sources