The P-class and Q-class functions on symmetric cones

Chien Hao Huang; Yu Lin Chang; Jein Shan Chen

doi:10.23952/jnva.4.2020.2.08

The P-class and Q-class functions on symmetric cones

Chien Hao Huang, Yu Lin Chang, Jein Shan Chen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we investigate the functions of P-class and of Q-class associated with symmetric cones. We provide the characterizations for P-class functions on symmetric cones, and discuss the relationship between P-class functions and monotone functions in the setting of symmetric cones. In addition, we also discuss the sufficient conditions for Q-class functions being monotone in the setting of symmetric cones.

Original language	English
Pages (from-to)	273-284
Number of pages	12
Journal	Journal of Nonlinear and Variational Analysis
Volume	4
Issue number	2
DOIs	https://doi.org/10.23952/jnva.4.2020.2.08
Publication status	Published - 2020

Keywords

P-class function
Q-class function
SC-convex
SC-monotone
Symmetric cone

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.23952/jnva.4.2020.2.08

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AB - In this paper, we investigate the functions of P-class and of Q-class associated with symmetric cones. We provide the characterizations for P-class functions on symmetric cones, and discuss the relationship between P-class functions and monotone functions in the setting of symmetric cones. In addition, we also discuss the sufficient conditions for Q-class functions being monotone in the setting of symmetric cones.

KW - P-class function

KW - Q-class function

KW - SC-convex

KW - SC-monotone

KW - Symmetric cone

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The P-class and Q-class functions on symmetric cones

Abstract

Keywords

ASJC Scopus subject areas

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