SOC means and SOC inequalities

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish
Title of host publicationSpringer Optimization and Its Applications
PublisherSpringer International Publishing
Pages159-188
Number of pages30
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

NameSpringer Optimization and Its Applications
Volume143
ISSN (Print)1931-6828
ISSN (Electronic)1931-6836

Fingerprint

Minkowski's inequality
Weighted Mean
Convergence Analysis
Monotonicity
Convexity
Trace
Optimization

ASJC Scopus subject areas

  • Control and Optimization

Cite this

Chen, J. S. (2019). SOC means and SOC inequalities. In Springer Optimization and Its Applications (pp. 159-188). (Springer Optimization and Its Applications; Vol. 143). Springer International Publishing. https://doi.org/10.1007/978-981-13-4077-2_4

SOC means and SOC inequalities. / Chen, Jein Shan.

Springer Optimization and Its Applications. Springer International Publishing, 2019. p. 159-188 (Springer Optimization and Its Applications; Vol. 143).

Research output: Chapter in Book/Report/Conference proceedingChapter

Chen, JS 2019, SOC means and SOC inequalities. in Springer Optimization and Its Applications. Springer Optimization and Its Applications, vol. 143, Springer International Publishing, pp. 159-188. https://doi.org/10.1007/978-981-13-4077-2_4
Chen JS. SOC means and SOC inequalities. In Springer Optimization and Its Applications. Springer International Publishing. 2019. p. 159-188. (Springer Optimization and Its Applications). https://doi.org/10.1007/978-981-13-4077-2_4
Chen, Jein Shan. / SOC means and SOC inequalities. Springer Optimization and Its Applications. Springer International Publishing, 2019. pp. 159-188 (Springer Optimization and Its Applications).
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