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A nonmonotone globalization algorithm with preconditioned gradient path for unconstrained optimization

delete2010-12-01
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PRE
AI
Q
Qunyan Zhou
W
Wenyu Sun *
L
Liqun Qi
DOI:10.1016/j.amc.2010.10.042delete
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Abstract

Abstract

En 中文
The aim of this paper is to incorporate the preconditioned gradient path in a nonmonotone stabilization algorithm for unconstrained optimization. The global convergence and locally superlinear convergence are established for this class of algorithms. Finally, we report in details the numerical results which show the effectiveness of the proposed algorithm. (C) 2010 Elsevier Inc. All rights reserved.
Keywords:
Unconstrained optimization
Gradient path
Nonmonotone technique
Globalization
Convergence

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

H
hong kong polytechnic university
Scholars:
3.0W
Papers: 4.1W
Citations: 921
N
Nanjing Normal University
Scholars:
1.7W
Papers: 1.3W
Citations: 1.9W