On unitary elements defined on Lorentz cone and their applications

Chien-Hao Huang Jein-Shan Chen

Numerical Analysis and Scientific Computing mathscidoc:1910.43963

Linear Algebra and its Applications, 565, 1-24, 2019.3
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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  title={On unitary elements defined on Lorentz cone and their applications},
  author={Chien-Hao Huang, and Jein-Shan Chen},
  booktitle={Linear Algebra and its Applications},
Chien-Hao Huang, and Jein-Shan Chen. On unitary elements defined on Lorentz cone and their applications. 2019. Vol. 565. In Linear Algebra and its Applications. pp.1-24. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020230232043143492.
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