On some NCP-functions based on the generalized Fischer-burmeister function

Jein Shan Chen

doi:10.1142/S0217595907001292

On some NCP-functions based on the generalized Fischer-burmeister function

Jein Shan Chen^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

45 引文斯高帕斯（Scopus）

摘要

In this paper, we study several NCP-functions for the nonlinear complementarity problem (NCP) which are indeed based on the generalized Fischer-Burmeister function, Φ_p(a, b) = ||(a, b)||_p - (a + b). It is well known that the NCP can be reformulated as an equivalent unconstrained minimization by means of merit functions involving NCP-functions. Thus, we aim to investigate some important properties of these NCP-functions that will be used in solving and analyzing the reformulation of the NCP.

原文	英語
頁（從 - 到）	401-420
頁數	20
期刊	Asia-Pacific Journal of Operational Research
卷	24
發行號	3
DOIs	https://doi.org/10.1142/S0217595907001292
出版狀態	已發佈 - 2007 6月

ASJC Scopus subject areas

管理科學與經營研究

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10.1142/S0217595907001292

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keywords = "Bounded level sets, Complementarity, Merit function, NCP-function, Stationary point",

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AB - In this paper, we study several NCP-functions for the nonlinear complementarity problem (NCP) which are indeed based on the generalized Fischer-Burmeister function, Φp(a, b) = ||(a, b)||p - (a + b). It is well known that the NCP can be reformulated as an equivalent unconstrained minimization by means of merit functions involving NCP-functions. Thus, we aim to investigate some important properties of these NCP-functions that will be used in solving and analyzing the reformulation of the NCP.

KW - Bounded level sets

KW - Complementarity

KW - Merit function

KW - NCP-function

KW - Stationary point

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ER -

On some NCP-functions based on the generalized Fischer-burmeister function

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