On multivariate polynomial matrix factorization problems

DOI10.1007/s00498-005-0155-6zbMath1098.93010OpenAlexW2093654568MaRDI QIDQ2574184

Mingsheng Wang, C. P. Kwong

Publication date: 18 November 2005

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-005-0155-6

zbMATH Keywords

Multidimensional systemsMatrix factorizationsMinor left primeMultivariate polynomial matricesReduced minorsZero left prime

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear systems in control theory (93C05) Algebraic methods (93B25) Realizations from input-output data (93B15)

Related Items (12)

Factorization for \(n\)-D polynomial matrices over arbitrary coefficient field ⋮ New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices ⋮ New results on multivariate polynomial matrix factorizations ⋮ Factorizations for a class of multivariate polynomial matrices ⋮ Smith form of triangular multivariate polynomial matrix ⋮ On minor prime factorizations for multivariate polynomial matrices ⋮ Minor prime factorization for \(n\)-D polynomial matrices over arbitrary coefficient field ⋮ Notes on factor prime factorizations for \(n\)-D polynomial matrices ⋮ Further remarks on multivariate polynomial matrix factorizations ⋮ On rank factorizations and factor prime factorizations for multivariate polynomial matrices ⋮ On general factorizations for \(n\)-D polynomial matrices ⋮ On factor left prime factorization problems for multivariate polynomial matrices

Uses Software

• SINGULAR

Cites Work

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• Transfer operators and state spaces for discrete multidimensional linear systems
• \(n\)D polynomial matrices with applications to multidimensional signal analysis
• A formal theory of matrix primeness
• Coprime factorizations of multivariate rational matrices
• Notes on \(n\)-\(D\) polynomial matrix factorizations
• Multidimensional FIR filter bank design using Grobner bases
• The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
• 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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