1 citations · 1 across the 8 of their papers we have counts for
9 papers
Matrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matrices
Dong Lu, Yuanyuan Ruan, Dingkang Wang +1
This paper investigates the Smith normal form equivalence problem for multivariate polynomial matrices. Using methods from matrix theory and polynomial ideal theory, we prove that…
Smith normal forms of bivariate polynomial matrices
Dong Lu, Dingkang Wang, Fanghui Xiao +1
In 1978, Frost and Storey asserted that a bivariate polynomial matrix is equivalent to its Smith normal form if and only if the reduced minors of all orders generate the unit ideal…
On the equivalence problem of Smith forms for multivariate polynomial matrices
Dong Lu, Dingkang Wang, Fanghui Xiao +1
This paper delves into the equivalence problem of Smith forms for multivariate polynomial matrices. Generally speaking, multivariate () polynomial matrices and their Smit…
Two Algorithms for Computing Rational Univariate Representations of Zero-Dimensional Ideals with Parameters
Dingkang Wang, Jingjing Wei, Fanghui Xiao +1
Based on the partition of parameter space, two algorithms for computing the rational univariate representation of zero-dimensional ideals with parameters are presented in the paper…
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…