A fast structure-preserving method for computing the singular value decomposition of quaternion matrices

作者:

Highlights:

摘要

In this paper we propose a fast structure-preserving algorithm for computing the singular value decomposition of quaternion matrices. The algorithm is based on the structure-preserving bidiagonalization of the real counterpart for quaternion matrices by applying orthogonal JRS-symplectic matrices. The algorithm is efficient and numerically stable.

论文关键词:Quaternion matrix,Quaternion singular value decomposition,Structure-preserving algorithm

论文评审过程:Available online 24 March 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.068