On Serre Reduction of Multidimensional Systems
Joint Authors
Zheng, Licui
Liu, Jinwang
Li, Dongmei
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Serre reduction of a system plays a key role in the theory of Multidimensional systems, which has a close connection with Serre reduction of polynomial matrices.
In this paper, we investigate the Serre reduction problem for two kinds of nD polynomial matrices.
Some new necessary and sufficient conditions about reducing these matrices to their Smith normal forms are obtained.
These conditions can be easily checked by existing Gröbner basis algorithms of polynomial ideals.
American Psychological Association (APA)
Li, Dongmei& Liu, Jinwang& Zheng, Licui. 2020. On Serre Reduction of Multidimensional Systems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1197995
Modern Language Association (MLA)
Li, Dongmei…[et al.]. On Serre Reduction of Multidimensional Systems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1197995
American Medical Association (AMA)
Li, Dongmei& Liu, Jinwang& Zheng, Licui. On Serre Reduction of Multidimensional Systems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1197995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197995
