4 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…
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…
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…