On factor left prime factorization problems for multivariate polynomial matrices
- 25 February 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Multidimensional Systems and Signal Processing
- Vol. 32 (3), 975-992
- https://doi.org/10.1007/s11045-021-00768-x
Abstract
This paper is concerned with factor left prime factorization problems for multivariate polynomial matrices without full row rank. We propose a necessary and sufficient condition for the existence of factor left prime factorizations of a class of multivariate polynomial matrices, and then design an algorithm to compute all factor left prime factorizations if they exist. We implement the algorithm on the computer algebra system Maple, and two examples are given to illustrate the effectiveness of the algorithm. The results presented in this paper are also true for the existence of factor right prime factorizations of multivariate polynomial matrices without full column rank.Keywords
Funding Information
- Young Scientists Fund (12001030)
- Chinese Academy of Sciences Key Project (QYZDJ-SSW-SYS022)
- National Key Research and Development Project (2020YFA0712300)
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