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New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems.
- Source :
-
Numerical Algorithms . Mar2024, Vol. 95 Issue 3, p1309-1323. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems A x = b and obtain the structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems A x = b . The convergence and computational cost of these iteration methods are discussed. Numerical examples are given to demonstrate the efficiency of structure-preserving algorithms of Gauss-Seidel iteration and successive over-relaxation iteration methods. As an application, we apply two kinds of structure-preserving iterative algorithms to solve elliptic biquaternion linear systems A x = b . [ABSTRACT FROM AUTHOR]
- Subjects :
- *GAUSS-Seidel method
*QUATERNIONS
*LINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 95
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 175389273
- Full Text :
- https://doi.org/10.1007/s11075-023-01609-7