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New Results on Equivalence of Multivariate Polynomial Matrices

  • Jiancheng Guan,
  • Jinwang Liu,
  • Licui Zheng,
  • Tao Wu,
  • Jie Liu

摘要

This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible polynomial. The authors give a necessary and sufficient condition for this equivalence. And the authors present an algorithm to reduce a class of multivariate polynomial matrices to their Smith forms.