SOC means and SOC inequalities

研究成果: 書貢獻/報告類型篇章

摘要

In this chapter, we present some other types of applications of the aforementioned SOC-functions, SOC-convexity, and SOC-monotonicity. These include so-called SOC means, SOC weighted means, and a few SOC trace versions of Young, Hölder, Minkowski inequalities, and Powers–Størmer’s inequality. We believe that these results will be helpful in convergence analysis of optimizations involved with SOC. Many materials of this chapter are extracted from [36, 77, 78], the readers can look into them for more details.

原文英語
主出版物標題Springer Optimization and Its Applications
發行者Springer International Publishing
頁面159-188
頁數30
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

  • Control and Optimization

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