arXiv Open Access 2020

On Factor Left Prime Factorization Problems for Multivariate Polynomial Matrices

Dong Lu Dingkang Wang Fanghui Xiao

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

cs.SC

Penulis (3)

Dong Lu

Dingkang Wang

Fanghui Xiao

Format Sitasi

APA MLA BibTeX

Lu, D., Wang, D., Xiao, F. (2020). On Factor Left Prime Factorization Problems for Multivariate Polynomial Matrices. https://arxiv.org/abs/2010.07007

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓