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Iterative solutions of generalized Sylvester quaternion tensor equations.
- Source :
- Linear & Multilinear Algebra; May2024, Vol. 72 Issue 8, p1259-1278, 20p
- Publication Year :
- 2024
-
Abstract
- This paper is concerned with the iterative solutions to a class of generalized Sylvester quaternion tensor equations. From the Kronecker product and the properties of quaternion tensors, we propose the biconjugate A-orthogonal residual stabilized and the generalized product-type biconjugate A-orthogonal residual methods in their tensor forms for solving the original tensor equation. As an application, the proposed methods are tested with some colour video restoration problems. Numerical results show the effectiveness of our methods compared with some existing methods. [ABSTRACT FROM AUTHOR]
- Subjects :
- QUATERNIONS
KRONECKER products
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 72
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 177218650
- Full Text :
- https://doi.org/10.1080/03081087.2023.2176416