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