THE SCHATTEN p-NORM ON ℝn

Chien Hao Huang; Jein Shan Chen; Chu Chin Hu

THE SCHATTEN p-NORM ON ℝⁿ

Chien Hao Huang
, 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

2 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 - 2020

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

引用此

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title = "THE SCHATTEN p-NORM ON ℝn",

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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author = "Huang, \{Chien Hao\} and Chen, \{Jein Shan\} and Hu, \{Chu Chin\}",

year = "2020",

language = "English",

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AU - Huang, Chien Hao

AU - Chen, Jein Shan

AU - Hu, Chu Chin

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/105039333277

UR - https://www.scopus.com/pages/publications/105039333277#tab=citedBy

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VL - 21

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JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 1

ER -

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