New results on multivariate polynomial matrix factorizations

DOI10.1016/j.laa.2012.08.012zbMath1255.15017OpenAlexW1965472378WikidataQ114152377 ScholiaQ114152377MaRDI QIDQ1932585

Mingsheng Wang, Jin-wang Liu

Publication date: 21 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.012

zbMATH Keywords

polynomial ringmultivariate polynomial matricesLin-Bose problembivariate matrix factorizations

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) Linear equations (linear algebraic aspects) (15A06)

Related Items (9)

On the equivalence of multivariate polynomial matrices ⋮ The smith form of a multivariate polynomial matrix over an arbitrary coefficient field ⋮ The generalized Serre problem over \(K\)-Hermite rings ⋮ Generalized Serre problem over elementary divisor rings ⋮ 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 ⋮ Factorizations for a class of multivariate polynomial matrices ⋮ Further remarks on multivariate polynomial matrix factorizations ⋮ On rank factorizations and factor prime factorizations for multivariate polynomial matrices

Uses Software

• SINGULAR

Cites Work

• Notes on factor prime factorizations for \(n\)-D polynomial matrices
• A generalized Serre problem
• On Lin-Bose problem
• On multivariate polynomial matrix factorization problems
• Multidimensional FIR filter bank design using Grobner bases
• The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
• On matrix fraction descriptions of multivariable linear n-D systems
• Notes on n-Dimensional System Theory
• On Factor Prime Factorizations for <formula formulatype="inline"> <tex>$n$</tex></formula>-D Polynomial Matrices
• Polynomial matrix primitive factorization over arbitrary coefficient field and related results
• SINGULAR
• On syzygy modules for polynomial matrices
• A generalization of Serre's conjecture and some related issues
• Factorizations for \(n\)D polynomial matrices
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