Author(s)

Xiaowei Zhang, Xiang Yu

Corresponding Author

Xiaowei Zhang

ABSTRACT

This article gives a constructive proof of singular value decomposition of a quaternion matrix by using the complex representation of quaternion matrices and properties of the eigenvectors. Therefore, a practical algorithm for singular value decomposition of quaternion matrices is obtained. At the same time, the algorithm of singular value decomposition is applied to the analysis of static system to obtain the algebraic equivalent form between voltage and current in the static system model, thus obtaining the most reliable numerical expression.

KEYWORDS

Matrix, Singular value decomposition, Static system, Accurate model