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Volume 18, Issue 6
Two Algorithms for LC1 Unconstrained Optimization

Wen-Yu Sun, R. J. B. de Sampaio & Jin-Yun Yuan

J. Comp. Math., 18 (2000), pp. 621-632.

Published online: 2000-12

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  • Abstract

In this paper we present two algorithms for $LC^1$ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We discuss the related properties of the iteration function, and establish the global and superlinear convergence of our methods.  

  • Keywords

Nonsmooth optimization, Directional derivative, Newton-like method, Convergence, Trust region method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-621, author = {Sun , Wen-YuSampaio , R. J. B. de and Yuan , Jin-Yun}, title = {Two Algorithms for LC1 Unconstrained Optimization}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {621--632}, abstract = {

In this paper we present two algorithms for $LC^1$ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We discuss the related properties of the iteration function, and establish the global and superlinear convergence of our methods.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9072.html} }
TY - JOUR T1 - Two Algorithms for LC1 Unconstrained Optimization AU - Sun , Wen-Yu AU - Sampaio , R. J. B. de AU - Yuan , Jin-Yun JO - Journal of Computational Mathematics VL - 6 SP - 621 EP - 632 PY - 2000 DA - 2000/12 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9072.html KW - Nonsmooth optimization, Directional derivative, Newton-like method, Convergence, Trust region method. AB -

In this paper we present two algorithms for $LC^1$ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We discuss the related properties of the iteration function, and establish the global and superlinear convergence of our methods.  

Wen-Yu Sun, R.J.B.de Sampaio & Jin-Yun Yuan. (1970). Two Algorithms for LC1 Unconstrained Optimization. Journal of Computational Mathematics. 18 (6). 621-632. doi:
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