On unitary elements defined on Lorentz cone and their applications

Chien Hao Huang, Jein Shan Chen

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1-24
Number of pages24
JournalLinear Algebra and Its Applications
Volume565
DOIs
Publication statusPublished - 2019 Mar 15

Fingerprint

Cones
Unitary transformation
Cone
Triangle inequality
Majorization
Concepts

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

Cite this

On unitary elements defined on Lorentz cone and their applications. / Huang, Chien Hao; Chen, Jein Shan.

In: Linear Algebra and Its Applications, Vol. 565, 15.03.2019, p. 1-24.

Research output: Contribution to journalArticle

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