On unitary elements defined on Lorentz cone and their applications

Chien Hao Huang, Jein Shan Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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
Publication statusPublished - 2019 Mar 15


  • 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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