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^*

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Linear Algebra and Its Applications
Volume	565
DOIs	https://doi.org/10.1016/j.laa.2018.12.007
Publication status	Published - 2019 Mar 15

Keywords

Lorentz cone
Majorization
Triangular inequality
Unitary element

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2018.12.007

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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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AU - Chen, Jein Shan

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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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JO - Linear Algebra and Its Applications

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ER -

On unitary elements defined on Lorentz cone and their applications

Abstract

Keywords

ASJC Scopus subject areas

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