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arXiv · 1811.08671

A Structure-Preserving One-Sided Jacobi Method for Computing the SVD of a Quaternion Matrix

Ru-Ru Ma·Zheng-Jian Bai
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Abstract

In this paper, we provide a structure-preserving one-sided cyclic Jacobi method for computing the singular value decomposition of a quaternion matrix. In this method, the columns of the quaternion matrix are orthogonalized in pairs by using a sequence of orthogonal JRS-symplectic Jacobi matrices to its real counterpart. The quadratic convergence is also established under some mild conditions. Numerical tests are reported to illustrate the efficiency of the proposed method.

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Ru-Ru Ma, Zheng-Jian Bai. 2018-11-21. A Structure-Preserving One-Sided Jacobi Method for Computing the SVD of a Quaternion Matrix. https://arxiv.org/abs/1811.08671

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