Results 1 to 10 of about 2,111,728 (247)
Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Journal of Numerical Analysis and Approximation Theory, 2020 Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference.
Beny Neta
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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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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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Symmetry, 2019 A number of higher order iterative methods with derivative evaluations are developed in literature for computing multiple zeros. However, higher order methods without derivative for multiple zeros are difficult to obtain and hence such methods are rare ...
J. Sharma, Sunil Kumar, I. Argyros
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Complex dynamics of derivative-free methods for nonlinear equations
Applied Mathematics and Computation, 2013 The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials.
F. Chicharro +3 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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Model-Based Derivative-Free Methods for Convex-Constrained Optimization [PDF]
SIAM Journal on Optimization, 2021 We present a model-based derivative-free method for optimization subject to general convex constraints, which we assume are unrelaxable and accessed only through a projection operator that is cheap to evaluate.
Matthew Hough, Lindon Roberts
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Derivative-free methods for mixed-integer nonsmooth constrained optimization [PDF]
Computational optimization and applications, 2021 In this paper, mixed-integer nonsmooth constrained optimization problems are considered, where objective/constraint functions are available only as the output of a black-box zeroth-order oracle that does not provide derivative information.
T. Giovannelli +3 more
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An optimal interpolation set for model-based derivative-free optimization methods [PDF]
Optim. Methods Softw., 2023 This paper demonstrates the optimality of an interpolation set employed in derivative-free trust-region methods. This set is optimal in the sense that it minimizes the constant of well-poisedness in a ball centred at the starting point.
Tom M. Ragonneau, Zai-Kun Zhang
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Comparison of some optimal derivative-free three-point iterations
Journal of Numerical Analysis and Approximation Theory, 2020 We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods.
Thugal Zhanlav, Khuder Otgondorj
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