Quaternion matrix decomposition and its theoretical implications
Optimization and Control
2021-09-14 v1
Abstract
This paper proposes a novel matrix rank-one decomposition for quaternion Hermitian matrices, which admits a stronger property than the previous results in (sturm2003cones,huang2007complex,ai2011new). The enhanced property can be used to drive some improved results in joint numerical range, -Procedure and quadratically constrained quadratic programming (QCQP) in the quaternion domain, demonstrating the capability of our new decomposition technique.
Cite
@article{arxiv.2109.05405,
title = {Quaternion matrix decomposition and its theoretical implications},
author = {Chang He and Bo Jiang and Xihua Zhu},
journal= {arXiv preprint arXiv:2109.05405},
year = {2021}
}