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New Subspace Method for Unconstrained Derivative-Free Optimization
ACM Transactions on Mathematical Software, 2023This article defines an efficient subspace method, called SSDFO , for unconstrained derivative-free optimization problems where the gradients of the objective function are Lipschitz continuous but only exact function values are available.
Morteza Kimiaei +2 more
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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.
Hare, W. L., Lucet, Y.
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Objective-derivative-free methods for constrained optimization
Mathematical Programming, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LUCIDI, Stefano, M. Sciandrone, P. Seng
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Derivative Free Inclusion Methods for Polynomial Zeros
Computing, 2005Iterative methods for the simultaneous inclusion of complex zeros of polynomials realized in circular arithmetic without use of polynominal derivatives are presented. A short review of definitions and operations of circular arithmetic which are necessary to describe the methods and their convergence analysis are given. A two-stage method as combination
Petković, M. S., Milošević, D.
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CONSTRUCTION OF DERIVATIVE-FREE ITERATIVE METHODS FROM CHEBYSHEV'S METHOD
Analysis and Applications, 2013From some modifications of Chebyshev's method, we consider a uniparametric family of iterative methods that are more efficient than Newton's method, and we then construct two iterative methods in a similar way to the Secant method from Newton's method. These iterative methods do not use derivatives in their algorithms and one of them is more efficient ...
Ezquerro, J. A. +3 more
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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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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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