23 citations · 54 across the 14 of their papers we have counts for
14 papers · 1 filter
A new algorithm for computing -bases of the univariate polynomial vector
Dingkang Wang, Hesong Wang, Fanghui Xiao
In this paper, we characterized the relationship between Groebner bases and u-bases: any minimal Groebner basis of the syzygy module for n univariate polynomials with respect to th…
New Remarks on the Factorization and Equivalence Problems for a Class of Multivariate Polynomial Matrices
Dong Lu, Dingkang Wang, Fanghui Xiao
This paper is concerned with the factorization and equivalence problems of multivariate polynomial matrices. We present some new criteria for the existence of matrix factorizations…
On Factor Left Prime Factorization Problems for Multivariate Polynomial Matrices
Dong Lu, Dingkang Wang, Fanghui Xiao
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 fo…
On Minor Left Prime Factorization Problem for Multivariate Polynomial Matrices
Dong Lu, Dingkang Wang, Fanghui Xiao
A new necessary and sufficient condition for the existence of minor left prime factorizations of multivariate polynomial matrices without full row rank is presented. The key idea i…
Factorizations for a Class of Multivariate Polynomial Matrices
Dong Lu, Dingkang Wang, Fanghui Xiao
Following the works by Lin et al. (Circuits Syst. Signal Process. 20(6): 601-618, 2001) and Liu et al. (Circuits Syst. Signal Process. 30(3): 553-566, 2011), we investigate how to…
A Monomial-Oriented GVW for Computing Gröbner Bases
Yao Sun, Dingkang Wang, Zhenyu Huang +1
The GVW algorithm, presented by Gao et al., is a signature-based algorithm for computing Gröbner bases. In this paper, a variant of GVW is presented. This new algorithm is called a…