Serre’s Reduction and the Smith Forms of Multivariate Polynomial Matrices
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The equivalence of systems plays a critical role in multidimensional systems, which are usually represented by the multivariate polynomial matrices.
The Smith form of a matrix is one of the important research contents in polynomial matrices.
This paper mainly investigates the Smith forms of some multivariate polynomial matrices.
We have obtained several new results and criteria on the reduction of a given multivariate polynomial matrix to its Smith form.
These criteria are easily checked by computing the minors of lower order of the given matrix.
American Psychological Association (APA)
Li, Dongmei& Liang, Rui. 2020. Serre’s Reduction and the Smith Forms of Multivariate Polynomial Matrices. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1195976
Modern Language Association (MLA)
Li, Dongmei& Liang, Rui. Serre’s Reduction and the Smith Forms of Multivariate Polynomial Matrices. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1195976
American Medical Association (AMA)
Li, Dongmei& Liang, Rui. Serre’s Reduction and the Smith Forms of Multivariate Polynomial Matrices. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1195976
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195976