A Direct Method for Solving Regularized Quaternion Matrix Regression Problems
ABSTRACT In this paper, we mainly discuss a direct method for solving the regularized quaternion matrix regression. Using the complex representation method, we first obtain the closed‐form solutions of the regularized quaternion matrix regression problem and then provide two numerical examples of color face recognition to show the feasibility of the proposed algorithms.
Authors
- Xin Liu (ORCID: https://orcid.org/0000-0001-9646-4448)
- Yang Zhang (ORCID: https://orcid.org/0000-0001-9151-8486)
- Yibin Yu (ORCID: https://orcid.org/0000-0003-0120-127X)
- Cong Yuan (ORCID: https://orcid.org/0000-0003-3868-9635)
Institutions
- Macau University of Science and Technology (MO)
- Wuyi University (CN)
- University of Manitoba (CA)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-04-13
- DOI
- https://doi.org/10.1002/mma.10968
- Citations
- 1
- Primary Topic
- Statistical and numerical algorithms
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- National Natural Science Foundation of China
- Fundo para o Desenvolvimento das Ciências e da Tecnologia
- Natural Sciences and Engineering Research Council of Canada