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On minimizing the implicit Lagrangian for nonlinear complementarity problems under H-differentiability

delete2007-02-01
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Mohamed A. Tawhid *
DOI:10.1016/j.amc.2006.07.047delete
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摘要

摘要

En 中文
In this paper, we describe H-differential of the implicit Lagrangian function. We show how, under appropriate regularity conditions on an H-differential off, minimizing the implicit Lagrangian function corresponding to f leads to a solution of the nonlinear complementarity problem. Our results give a unified treatment of such results for C-1-functions and for locally Lipschitzian functions. (c) 2006 Elsevier Inc. All rights reserved.
Keyword:
H-differentiability
semismooth-functions
locally lipschitzian
generalized jacobian
nonlinear complementarity problem
NCP function
merit function
regularity conditions

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

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