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An efficient Jordan basis algorithm.
- Source :
-
Journal of Computational & Applied Mathematics . Feb2022, Vol. 401, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- Most algorithms for determining a Jordan basis for an endomorphism of a finite dimensional vector space suffer from the major drawback that they are computationally inefficient. In this paper, a universal and efficient algorithm for an endomorphism of a finite dimensional vector space over an arbitrary field is presented. Three computational examples are considered which show how our new algorithm works. A computational comparison to the Jordan basis algorithm in Kudo et al. (2010) completes the paper (algorithmic aspects). [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
*VECTOR spaces
*ENDOMORPHISMS
*JORDAN algebras
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 401
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 152607569
- Full Text :
- https://doi.org/10.1016/j.cam.2021.113782