SOC functions

研究成果: 書貢獻/報告類型篇章

摘要

During the past two decades, there have been active research for second-order cone programs (SOCPs) and second-order cone complementarity problems (SOCCPs). Various methods had been proposed which include the interior-point methods [1, 102, 109, 123, 146], the smoothing Newton methods [51, 63, 71], the semismooth Newton methods [86, 120], and the merit function methods [43, 48]. All of these methods are proposed by using some SOC complementarity function or merit function to reformulate the KKT optimality conditions as a nonsmooth (or smoothing) system of equations or an unconstrained minimization problem. In fact, such SOC complementarity functions or merit functions are closely connected to so-called SOC functions. In other words, studying SOC functions is crucial to dealing with SOCP and SOCCP, which is the main target of this chapter.

原文英語
主出版物標題Springer Optimization and Its Applications
發行者Springer International Publishing
頁面1-37
頁數37
DOIs
出版狀態已發佈 - 2019 一月 1

出版系列

名字Springer Optimization and Its Applications
143
ISSN(列印)1931-6828
ISSN(電子)1931-6836

ASJC Scopus subject areas

  • 控制和優化

指紋

深入研究「SOC functions」主題。共同形成了獨特的指紋。

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