On Lin-Bose problem

DOI10.1016/j.laa.2004.04.020zbMath1056.15013OpenAlexW2019461167MaRDI QIDQ1886538

Mingsheng Wang, Dengguo Feng

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.020

zbMATH Keywords

polynomial ringSerre problemmultidimensional systemsmatrix factorizationLin-Bose problemmultivariate polynomial matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials, factorization in commutative rings (13P05) Matrices over function rings in one or more variables (15A54)

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Cites Work

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• Bertini theorems for ideals linked to a given ideal
• \(n\)D polynomial matrices with applications to multidimensional signal analysis
• A formal theory of matrix primeness
• Notes on \(n\)-\(D\) polynomial matrix factorizations
• Multidimensional FIR filter bank design using Grobner bases
• Notes on n-Dimensional System Theory
• Further results on \(n\)-D polynomial matrix factorizations
• A generalization of Serre's conjecture and some related issues

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