Results 1 to 10 of about 264,051 (290)
A New Derivative-Free Method to Solve Nonlinear Equations [PDF]
Mathematics, 2021 A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated.
Beny Neta
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Derivative free iterative simultaneous method for finding distinct roots of polynomial equation
Alexandria Engineering Journal, 2020 In this article, we present a new derivative free simultaneous method for determining in particular all the distinct roots of polynomial equation. A modification in Weierstrass correction is used to construct tenth order derivative free simultaneous ...
Nazir Ahmad Mir +4 more
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A kernel derivative free SPH method
Results in Applied Mathematics, 2023 Based on smooth particle hydrodynamics (SPH) method, this paper proposes the concept of kernel function moment and studies its properties, and puts forward the KDF-SPH (Kernel Derivative Free SPH: KDF-SPH) method.
Dongyan Feng, Rahmatjan Imin
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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 ...
Adil Bagirov +2 more
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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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Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 more
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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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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.
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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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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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