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Nonconvex optimization using negative curvature within a modified linesearch

delete2008-09-01
delete15
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OA
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A
Alberto Olivares *
J
Javier M. Moguerza
F
Francisco J. Prieto
DOI:10.1016/j.ejor.2006.09.097delete
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摘要

摘要

En 中文
This paper describes a new algorithm for the solution of nonconvex unconstrained optimization problems, with the property of converging to points satisfying second-order necessary optimality conditions. The algorithm is based on a procedure which, from two descent directions, a Newton-type direction and a direction of negative curvature, selects in each iteration the linesearch model best adapted to the properties of these directions. The paper also presents results of numerical experiments that illustrate its practical efficiency. (C) 2006 Elsevier B.V. All rights reserved.
Keyword:
Newton's method
unconstrained optimization
negative curvature
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期刊

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
6.4W

机构

U
Universidad Rey Juan Carlos
学者数:
6.2K
论文数: 6.2K
被引数: 6.7K
U
Universidad Carlos III de Madrid
学者数:
5.5K
论文数: 5.7K
被引数: 4.5K
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