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Article · Mathematical Methods in the Applied Sciences · August 10, 2022

Algebraic methods for equality constrained least squares problems in commutative quaternionic theory

Dong Zhang, Gang Wang, В. И. Васильев, Tongsong Jiang

Abstract

This paper, by means of two matrix representations of a commutative quaternion matrix, studies the relationship between the solutions of commutative quaternion equality constrained least squares (LSE) problems and that of complex and real LSE problems and derives two algebraic methods for finding the solutions of equality constrained least squares problems in commutative quaternionic theory.

Algebraic and Geometric AnalysisMatrix Theory and AlgorithmsStatistical and numerical algorithmsmatrix representation

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