On unitary elements defined on Lorentz cone and their applications

Chien Hao Huang; Jein Shan Chen

doi:10.1016/j.laa.2018.12.007

On unitary elements defined on Lorentz cone and their applications

Chien Hao Huang
, Jein Shan Chen^*

^*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

In this paper, we illustrate a new concept regarding unitary elements defined on Lorentz cone, and establish some basic properties under the so-called unitary transformation associated with Lorentz cone. As an application of unitary transformation, we achieve a weaker version of the triangle inequality and several (weak) majorizations defined on Lorentz cone.

原文	英語
頁（從 - 到）	1-24
頁數	24
期刊	Linear Algebra and Its Applications
卷	565
DOIs	https://doi.org/10.1016/j.laa.2018.12.007
出版狀態	已發佈 - 2019 3月 15

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

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10.1016/j.laa.2018.12.007

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title = "On unitary elements defined on Lorentz cone and their applications",

abstract = "In this paper, we illustrate a new concept regarding unitary elements defined on Lorentz cone, and establish some basic properties under the so-called unitary transformation associated with Lorentz cone. As an application of unitary transformation, we achieve a weaker version of the triangle inequality and several (weak) majorizations defined on Lorentz cone.",

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AB - In this paper, we illustrate a new concept regarding unitary elements defined on Lorentz cone, and establish some basic properties under the so-called unitary transformation associated with Lorentz cone. As an application of unitary transformation, we achieve a weaker version of the triangle inequality and several (weak) majorizations defined on Lorentz cone.

KW - Lorentz cone

KW - Majorization

KW - Triangular inequality

KW - Unitary element

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UR - https://www.scopus.com/pages/publications/85058179292#tab=citedBy

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On unitary elements defined on Lorentz cone and their applications

摘要

ASJC Scopus subject areas

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