Publications
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
More by Dong Zhang
- An algorithm for the split quaternion total least squares problem and application in color image restorationJournal of Computational and Applied Mathematics · 2026
- Efficient algorithms for CUR and generalized CUR decompositions of reduced biquaternion matrices with applications to color image processingNumerical Algorithms · 2026
- Quaternion full-rank factorization algorithm with application to multi-scale color face recognitionNumerical Algorithms · 2026
- A fast universal algorithm for quaternion singular value decompositionApplied Mathematics Letters · 2026 · Citations: 2
