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Second-derivative-free variants of Cauchy’s method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Derivative-Free Optimization Via Proximal Point Methods
Journal of Optimization Theory and Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Warren L. Hare, Yves Lucet
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On a family of second-derivative-free variants of Chebyshev’s method
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jisheng Kou, Yitian Li, Xiuhua Wang 0002
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Convergence of derivative free iterative methods
Creative Mathematics and Informatics, 2019We present the local as well as the semi-local convergence of some iterative methods free of derivatives for Banach space valued operators. These methods contain the secant and the Kurchatov method as special cases. The convergence is based on weak hypotheses specializing to Lipschitz continuous or Holder continuous hypotheses.
IOANNIS K. ARGYROS, SANTHOSH GEORGE
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A derivative-free descent method in set optimization
Computational Optimization and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On second derivative-free zero finding methods
Proceedings of the 2010 American Control Conference, 2010High order root-finding algorithms are constructed from formulas for approximating higher order logarithmic and standard derivatives. These formulas are free of derivatives of second order or higher and use only function evaluation and/or first derivatives at multiple points. Richardson extrapolation technique is applied to obtain better approximations
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Derivative free optimization methods for optimizing stirrer configurations
European Journal of Operational Research, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ömür Ugur +3 more
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Sixth order derivative free family of iterative methods
Applied Mathematics and Computation, 2011A four-parameter family of sixth order convergent iterative methods for solving nonlinear scalar equations is developed. Methods of the family require evaluation of four functions per iteration. These methods are totally free of derivatives. Convergence analysis shows that the family is sixth order convergent, which is also verified through the ...
Sanjay Kumar Khattri, Ioannis K. Argyros
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A Parallel, Asynchronous Method for Derivative-Free Nonlinear Programs
2006Derivative-free optimization algorithms are needed to solve real-world engineering problems that have computationally expensive and noisy objective function and constraint evaluations. In particular, we are focused on problems that involve running cumbersome simulation codes with run times measured in hours.
Joshua D. Griffin, Tamara G. Kolda
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An efficient derivative-free method for solving nonlinear equations
ACM Transactions on Mathematical Software, 1985An algorithm is presented for finding a root of a real function. The algorithm combines bisection with second and third order methods using derivatives estimated from objective function values. Globaql convergence is ensured and the number of function evaluations is bounded by four times the number needed by bisection.
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