The Schatten p-norm on Rn

Chien Hao Hunag; Jein Shan Chen; Chu Chin Hu

The Schatten p-norm on Rⁿ

Chien Hao Hunag, Jein Shan Chen, Chu Chin Hu^*

^*此作品的通信作者

數學系

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

It is well known that the Schatten p-norm defined on the space of matrices is useful and possesses nice properties. In this paper, we explore the concept of Schatten p-norm on Rⁿ via the structure of Euclidean Jordan algebra. Two types of Schatten p-norm on Rⁿ are defined and the relationship between these two norms is also investigated.

原文	英語
頁（從 - 到）	21-29
頁數	9
期刊	Journal of Nonlinear and Convex Analysis
卷	21
發行號	1
出版狀態	已發佈 - 2019

ASJC Scopus subject areas

分析
幾何和拓撲
控制和優化
應用數學

其它文件與鏈接

Link to publication in Scopus

引用此

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abstract = "It is well known that the Schatten p-norm defined on the space of matrices is useful and possesses nice properties. In this paper, we explore the concept of Schatten p-norm on Rn via the structure of Euclidean Jordan algebra. Two types of Schatten p-norm on Rn are defined and the relationship between these two norms is also investigated.",

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AB - It is well known that the Schatten p-norm defined on the space of matrices is useful and possesses nice properties. In this paper, we explore the concept of Schatten p-norm on Rn via the structure of Euclidean Jordan algebra. Two types of Schatten p-norm on Rn are defined and the relationship between these two norms is also investigated.

KW - Euclidean Jordan algebra

KW - Schatten p-norm

KW - Second-order cone

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The Schatten p-norm on Rn

摘要

ASJC Scopus subject areas

其它文件與鏈接

指紋

引用此

The Schatten p-norm on Rⁿ