Algebraic methods for equality constrained least squares problems in commutative quaternionic theory
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Publication:6182167
DOI10.1002/mma.8603zbMath1530.15027OpenAlexW4297830749MaRDI QIDQ6182167
Vasiliy I. Vasil'ev, Gang Wang, Tong-Song Jiang, Dong Zhang
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8603
real representationmatrix normcomplex representationcommutative quaternionequality constrained least squares
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66)
Cites Work
- Commutative quaternion matrices
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- Algebraic algorithms for least squares problem in quaternionic quantum theory
- An introduction to commutative quaternions
- An introduction to constant curvature spaces in the commutative (Segre) quaternion geometry
- A new technique of quaternion equality constrained least squares problem
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- Special least squares solutions of the reduced biquaternion matrix equation \(AX=B\) with applications
- Commutative (Segre's) quaternion fields and relation with Maxwell equations
- Algebraic method for inequality constrained quaternion least squares problem
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- Algebraic techniques for least squares problems in commutative quaternionic theory
- Commutative Reduced Biquaternions and Their Fourier Transform for Signal and Image Processing Applications
- Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
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