SOC-convexity and SOC-monotonity

研究成果: 書貢獻/報告類型篇章

摘要

In this chapter, we introduce the SOC-convexity and SOC-monotonicity which are natural extensions of traditional convexity and monotonicity. These kinds of SOC-convex and SOC-monotone functions are also parallel to matrix-convex and matrix-monotone functions, see [21, 74]. We start with studying the SOC-convexity and SOC-monotonicity for some simple functions, e.g., f(t)=t 2 , t 3 ,1/t,t 1/2 , |t| and [t]+. Then, we explore characterizations of SOC-convex and SOC-monotone functions.

原文英語
主出版物標題Springer Optimization and Its Applications
發行者Springer International Publishing
頁面39-99
頁數61
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-convexity and SOC-monotonity」主題。共同形成了獨特的指紋。

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