Neural networks for solving second-order cone programs based on complementarity functions

Jein Shan Chen

Neural networks for solving second-order cone programs based on complementarity functions

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

摘要

This paper surveys two neural networks for solving nonlinear convex programs with the second-order cone constraints. The neural network models are designed based on two different C-functions associated with a second-order cone. Various stabilities along with the neural networks are presented. Numerical comparisons are also reported.

原文	英語
頁（從 - 到）	1621-1641
頁數	21
期刊	Journal of Nonlinear and Convex Analysis
卷	19
發行號	10
出版狀態	已發佈 - 2018

ASJC Scopus subject areas

分析
幾何和拓撲
控制和優化
應用數學

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引用此

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title = "Neural networks for solving second-order cone programs based on complementarity functions",

abstract = "This paper surveys two neural networks for solving nonlinear convex programs with the second-order cone constraints. The neural network models are designed based on two different C-functions associated with a second-order cone. Various stabilities along with the neural networks are presented. Numerical comparisons are also reported.",

keywords = "Generalized FB function, Neural network, Second-order cone, Stability",

author = "Chen, \{Jein Shan\}",

note = "Publisher Copyright: {\textcopyright} 2018.",

year = "2018",

language = "English",

volume = "19",

pages = "1621--1641",

journal = "Journal of Nonlinear and Convex Analysis",

issn = "1345-4773",

publisher = "Yokohama Publishers",

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T1 - Neural networks for solving second-order cone programs based on complementarity functions

AU - Chen, Jein Shan

PY - 2018

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AB - This paper surveys two neural networks for solving nonlinear convex programs with the second-order cone constraints. The neural network models are designed based on two different C-functions associated with a second-order cone. Various stabilities along with the neural networks are presented. Numerical comparisons are also reported.

KW - Generalized FB function

KW - Neural network

KW - Second-order cone

KW - Stability

UR - https://www.scopus.com/pages/publications/85059041152

UR - https://www.scopus.com/pages/publications/85059041152#tab=citedBy

M3 - Article

AN - SCOPUS:85059041152

SN - 1345-4773

VL - 19

SP - 1621

EP - 1641

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 10

ER -

Neural networks for solving second-order cone programs based on complementarity functions

摘要

ASJC Scopus subject areas

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