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Lu D, Wang D, Xiao F, New remarks on the factorization, equivalence problems for a class of multivariate polynomial matrices,J · 2023

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math.AC 1

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2026 1

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Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices

math.AC · 2026-04-22 · unverdicted · novelty 5.0

Criteria for Smith form equivalence of several classes of multivariate polynomial matrices are derived via algebra isomorphisms and extended to non-square and rank-deficient cases using the Quillen-Suslin and Lin-Bose theorems, with algorithmic verification via Gröbner bases.

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  • Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices math.AC · 2026-04-22 · unverdicted · none · ref 18

    Criteria for Smith form equivalence of several classes of multivariate polynomial matrices are derived via algebra isomorphisms and extended to non-square and rank-deficient cases using the Quillen-Suslin and Lin-Bose theorems, with algorithmic verification via Gröbner bases.