Results 31 to 40 of about 264,051 (290)
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.
LUCIDI, Stefano, M. SCIANDRONE
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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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Ain Shams Engineering Journal, 2021 In this note, we propose a modification as an alternative to remove the assumption of uniformly monotone as assumed in Aliyu et al. (2019). Numerical experiment shows that the modification improves the numerical performance of the method.
Abdulkarim Hassan Ibrahim, Poom Kumam
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Local convergence for composite Chebyshev-type methods
Communications in Advanced Mathematical Sciences, 2018 We replace Chebyshev's method for solving equations requiring the second derivative by a Chebyshev-type second derivative free method. The local convergence analysis of the new method is provided using hypotheses only on the first derivative in contrast ...
Santhosh George, İoannis K Argyros
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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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An Algorithm Derivative-Free to Improve the Steffensen-Type Methods
Symmetry, 2021 Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative methods. The Steffensen-type methods, defined using divided differences are derivative free, are usually considered to solve these problems ...
Miguel Ángel Hernández-Verón +4 more
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A derivative-free root-finding algorithm using exponential method and its implementation
BMC Research Notes, 2023 Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast.
Srinivasarao Thota +3 more
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Hybridization of Multi-Objective Deterministic Particle Swarm with Derivative-Free Local Searches
Mathematics, 2020 The paper presents a multi-objective derivative-free and deterministic global/local hybrid algorithm for the efficient and effective solution of simulation-based design optimization (SBDO) problems.
Riccardo Pellegrini +5 more
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Mathematics, 2023 High-order iterative techniques without derivatives for multiple roots have wide-ranging applications in the following: optimization tasks, where the objective function lacks explicit derivatives or is computationally expensive to evaluate; engineering ...
Sunil Kumar +2 more
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StepDIRECT - A Derivative-Free Optimization Method for Stepwise Functions
, 2022 In this paper, we propose the StepDIRECT algorithm for derivative-free optimization (DFO), in which the black-box objective function has a stepwise landscape. Our framework is based on the well-known DIRECT algorithm. By incorporating the local variability to explore the flatness, we provide a new criterion to select the potentially optimal hyper ...
Dzung T. Phan +2 more
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