Notes on factor prime factorizations for \(n\)-D polynomial matrices
type: Item
instance of: scholarly article
title: Notes on factor prime factorizations for \(n\)-D polynomial matrices
zbMATH Open document ID: 1298.93197
author: Mingsheng Wang
author: Jinwang Liu
published in: Multidimensional Systems and Signal Processing
publication date: 2014-11-05T00:00:00Z
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 6366169
zbMATH Keywords: multidimensional (\(n\)-D) systems
zbMATH Keywords: \(n\)-D polynomial matrices
zbMATH Keywords: matrix factorizations
zbMATH Keywords: polynomial ring
describes a project that uses: SINGULAR
MaRDI profile type: Publication
full work available at URL: s11045-009-0089-0
OpenAlex ID: W2068746628
Wikidata QID: Q114224598
cites work: Q3693370
cites work: Multidimenional FIR filter bank design using Gröbner bases
cites work: \(n\)D polynomial matrices with applications to multidimensional signal analysis
cites work: SINGULAR
cites work: Polynomial matrix primitive factorization over arbitrary coefficient field and related results
cites work: On matrix fraction descriptions of multivariable linear n-D systems
cites work: On primitive factorizations for 3-D polynomial matrices
cites work: Notes on \(n\)-\(D\) polynomial matrix factorizations
cites work: A generalization of Serre's conjecture and some related issues
cites work: Factorizations for \(n\)D polynomial matrices
cites work: A generalized Serre problem
cites work: On Factor Prime Factorizations for <formula formulatype="inline"> <tex>$n$</tex></formula>-D Polynomial Matrices
cites work: On Lin-Bose problem
cites work: On multivariate polynomial matrix factorization problems
cites work: A formal theory of matrix primeness
cites work: Notes on n-Dimensional System Theory
cites work: The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
DOI: 10.1007/S11045-009-0089-0
Recommended article: On Factor Prime Factorizations for <formula formulatype="inline"> <tex>$n$</tex></formula>-D Polynomial Matrices
Recommended article: Notes on \(n\)-\(D\) polynomial matrix factorizations
Recommended article: Factorizations for \(n\)D polynomial matrices
Recommended article: Q3571261
Recommended article: On general factorizations for \(n\)-D polynomial matrices
Recommended article: On rank factorizations and factor prime factorizations for multivariate polynomial matrices
Recommended article: Further results on \(n\)-D polynomial matrix factorizations
Recommended article: Factorization for \(n\)-D polynomial matrices over arbitrary coefficient field
Recommended article: On factor left prime factorization problems for multivariate polynomial matrices
Recommended article: On the factorization of polynomial matrices over the domain of principal ideals
description: scientific article; zbMATH DE number 6366169