Publications
Article · Mathematical Methods in the Applied Sciences · January 20, 2020
Algebraic techniques for least squares problems in commutative quaternionic theory
Dong Zhang, Zhenwei Guo, Gang Wang, Tongsong Jiang
Abstract
Due to the rise of commutative quaternion in Hopfield neural networks, digital signal, and image processing, one encounters the approximate solution problems of the commutative quaternion linear equations and . This paper, by means of real representation and complex representation of commutative quaternion matrices, introduces concepts of norms of commutative quaternion matrices and derives two algebraic techniques for finding solutions of least squares problems in commutative quaternionic theory.
Algebraic and Geometric AnalysisMatrix Theory and AlgorithmsRings, Modules, and Algebrasleast-squares problemsHopfield neural network
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