SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions

Shaohua Pan, Yungyen Chiang, Jein Shan Chen*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

5 引文 斯高帕斯(Scopus)

摘要

The SOC-monotone function (respectively, SOC-convex function) is a scalar valued function that induces a map to preserve the monotone order (respectively, the convex order), when imposed on the spectral factorization of vectors associated with second-order cones (SOCs) in general Hilbert spaces. In this paper, we provide the sufficient and necessary characterizations for the two classes of functions, and particularly establish that the set of continuous SOC-monotone (respectively, SOC-convex) functions coincides with that of continuous matrix monotone (respectively, matrix convex) functions of order 2.

原文英語
頁(從 - 到)1264-1284
頁數21
期刊Linear Algebra and Its Applications
437
發行號5
DOIs
出版狀態已發佈 - 2012 九月 1

ASJC Scopus subject areas

  • 代數與數理論
  • 數值分析
  • 幾何和拓撲
  • 離散數學和組合

指紋

深入研究「SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions」主題。共同形成了獨特的指紋。

引用此