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New Subspace Method for Unconstrained Derivative-Free Optimization

ACM Transactions on Mathematical Software, 2023
This 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
openaire   +2 more sources

Derivative-Free Optimization Via Proximal Point Methods

Journal of Optimization Theory and Applications, 2013
zbMATH 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, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LUCIDI, Stefano, M. Sciandrone, P. Seng
openaire   +5 more sources

Derivative Free Inclusion Methods for Polynomial Zeros

Computing, 2005
Iterative 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.
openaire   +1 more source

CONSTRUCTION OF DERIVATIVE-FREE ITERATIVE METHODS FROM CHEBYSHEV'S METHOD

Analysis and Applications, 2013
From 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
openaire   +1 more source

Convergence of derivative free iterative methods

Creative Mathematics and Informatics, 2019
We 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, 2007
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