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- Title
Real and complex solutions of the total least squares problem in commutative quaternionic theory.
- Authors
Zhang, Dong; Jiang, Tongsong; Guo, Zhenwei; Vasil'ev, V. I.
- Abstract
As a very effective research tool, the commutative quaternion least squares (LS) problems, especially the commutative quaternion total least squares (TLS) problems, have a wide range of potential applications in mathematical physics, telecommunications, and image processing. This paper studies the commutative quaternion TLS problem using the real and complex representation of a commutative quaternion matrix and gives two algorithms for solving the real and complex solutions of the commutative quaternion TLS problem in commutative quaternionic theory.
- Subjects
LEAST squares; QUATERNIONS; MATHEMATICAL physics; IMAGE processing
- Publication
Computational & Applied Mathematics, 2024, Vol 43, Issue 4, p1
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-024-02755-x