Results 11 to 20 of about 253,815 (263)
Fractal and Fractional, 2022 Under the same conditions, we propose the extended comparison between two derivative free schemes of order six for addressing equations. The existing convergence technique used the standard Taylor series approach, which requires derivatives up to order ...
Samundra Regmi +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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An Optimal Derivative Free Family of Chebyshev–Halley’s Method for Multiple Zeros
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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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-
Khattri, S. K., Agarwal, R. P.
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IEEE Access, 2020 In this paper, we propose a derivative free algorithm for solving non-linear monotone equations with convex constraints. The proposed algorithm combines the method of spectral gradient and the projection method.
Li Zheng, Lei Yang, Yong Liang
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IEEE Access, 2021 In this paper, we propose an inertial derivative-free projection method for solving convex constrained nonlinear monotone operator equations (CNME). The method incorporates the inertial step with an existing method called derivative-free projection (DFPI)
Auwal Bala Abubakar +2 more
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Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots
Mathematics, 2020 We suggest a derivative-free optimal method of second order which is a new version of a modification of Newton’s method for achieving the multiple zeros of nonlinear single variable functions.
Deepak Kumar +2 more
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A method with inertial extrapolation step for convex constrained monotone equations
Journal of Inequalities and Applications, 2021 In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms.
Abdulkarim Hassan Ibrahim +3 more
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Efficient Derivative-Free Class of Seventh Order Method for Non-differentiable Equations
European Journal of Mathematical Analysis, 2023 Many applications from a wide variety of disciplines in the natural sciences and also in engineering are reduced to solving of an equation or a system of equations in a correspondingly chosen abstract area.
oannis K. Argyros +3 more
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