Results 11 to 20 of about 641,705 (295)
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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An Optimal Derivative Free Family of Chebyshev–Halley’s Method for Multiple Zeros [PDF]
Mathematics, 2021 In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–Halley’s iterative technique to solve the nonlinear equation having the multiple roots. The designed scheme makes use of the weight function and one parameter α
Ramandeep Behl +3 more
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Revision of a Derivative-Free Quasi-Newton Method [PDF]
Mathematics of Computation, 1978 A derivative-free Quasi-Newton (DFQN) method previously published [J. Greenstadt, Math. Comp. , v. 26, 1972, pp. 145-166] has been revised and simplified. The main modification has the effect of keeping all the successive approximants to the Hessian matrix positive-definite.
John Greenstadt
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On Derivative-Free Optimisation Methods [PDF]
, 2023 As part of the field of mathematical optimisation, derivative-free optimisation is the study of optimisation methods that are not granted full access to the derivative of the objective function. In this master's thesis, three derivative-free optimisation methods known from the literature that do not use the derivatives have been studied, namely the ...
Heeman, Pim
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On a New Method for Derivative Free Optimization [PDF]
, 2011 A new derivative-free optimization method for unconstrained optimization of partially separable functions is presented. Using average curvature information computed from sampled function values the method generates an average Hessian-like matrix and uses its eigenvectors as new search directions.
Frimannslund, Lennart, Steihaug, Trond
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Derivative-free optimization methods [PDF]
Acta Numerica, 2019 In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide derivative information. Such settings necessitate the use of methods for derivative-free, or zeroth-order, optimization.
Jeffrey Larson 0001 +2 more
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Seventh Order Derivative-Free Methods for Non-differentiable Operator Equations
European Journal of Mathematical Analysis, 2023 In nonlinear problems where function’s derivatives are difficult or expensive to compute, derivative-free iterative methods are good options to find the numerical solution.
Sunil Kumar +3 more
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An Accelerated Method for Derivative-Free Smooth Stochastic Convex Optimization
, 2022 We consider an unconstrained problem of minimizing a smooth convex function which is only available through noisy observations of its values, the noise consisting of two parts.
Dvurechensky, Pavel +2 more
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An optimal fourth-order second derivative free iterative method for nonlinear scientific equations
Kuwait Journal of Science, 2023 In the present paper, we develop an efficient second derivative free two-step optimal fourth-order iterative method for nonlinear equations. We explore the convergence criteria of the proposed method and also exhibit its validity and efficiency by ...
Ghulam Akbar Nadeem +2 more
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Derivative-Free Optimal Iterative Methods
Computational Methods in Applied Mathematics, 2010 AbstractIn this study, we develop an optimal family of derivative-free iterative methods. Convergence analysis shows that the methods are fourth order convergent, which is also verified numerically. The methods require three functional evaluations during each iteration. Though the methods are independent of derivatives, computa-
Sanjay Kumar Khattri, Ravi P. Agarwal
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