The smith form of a multivariate polynomial matrix over an arbitrary coefficient field

DOI10.1080/03081087.2020.1726275zbMath1490.15018OpenAlexW3005191414MaRDI QIDQ5070358

Delin Chu, Jin-wang Liu, Dong-Mei Li

Publication date: 11 April 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1726275

zbMATH Keywords

Smith formmultidimensional systemmultivariate polynomial matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials, factorization in commutative rings (13P05) Linear equations (linear algebraic aspects) (15A06) Canonical forms, reductions, classification (15A21)

Related Items (2)

New results on the equivalence of bivariate polynomial matrices ⋮ Equivalence and reduction of bivariate polynomial matrices to their Smith forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On general factorizations for \(n\)-D polynomial matrices
• Serre's reduction of linear functional systems.
• On Lin-Bose problem
• New results on multivariate polynomial matrix factorizations
• On the equivalence of multivariate polynomial matrices
• Factoring and decomposing a class of linear functional systems
• Some further results concerning matrices with elements in a polynomial ring
• Equivalence of matrices over R[s, z : a counter-example]
• Equivalence of a matrix overR [s,zwith its Smith form]
• Smith forms over<tex>R[z_{1},z_{2}</tex>]
• A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock
• Projective modules over polynomial rings

This page was built for publication: The smith form of a multivariate polynomial matrix over an arbitrary coefficient field