On Serre Reduction of Multidimensional Systems. (11th April 2020)

• Record Type: Journal Article
• Authors: Li, Dongmei; Liu, Jinwang; Zheng, Licui
• Other Names: Su Hou-Sheng Guest Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-04-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/7435237
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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 n D 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.