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A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications.
- Source :
-
Numerical Algorithms . Jan2024, Vol. 95 Issue 1, p267-283. 17p. - Publication Year :
- 2024
-
Abstract
- Singular value decomposition plays a prominent role in the theoretical study and numerical calculation of a quaternion matrix in applied sciences. This paper, by means of a complex representation of a quaternion matrix, studies the algorithm for the singular value decomposition of a quaternion matrix, and derives a complex structure-preserving algorithm for the singular value decomposition of a quaternion matrix. This paper also gives two examples to demonstrate the effectiveness of the algorithm. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 95
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 174601005
- Full Text :
- https://doi.org/10.1007/s11075-023-01571-4