Publications
Article · Mathematical Methods in the Applied Sciences · December 2, 2019
Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory
Gang Wang, Zhenwei Guo, Dong Zhang, Tongsong Jiang
Abstract
This paper aims to present, in a unified manner, algebraic techniques for least squares problem in quaternionic and split quaternionic mechanics. This paper, by means of a complex representation and a real representation of a generalized quaternion matrix, studies generalized quaternion least squares (GQLS) problem, and derives two algebraic methods for solving the GQLS problem. This paper gives not only algebraic techniques for least squares problem over generalized quaternion algebras, but also a unification of algebraic techniques for least squares problem in quaternionic and split quaternionic theory.
Algebraic and Geometric AnalysisMatrix Theory and AlgorithmsStatistical and numerical algorithmscomplex representationsreal representationsquaternionic matrices
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