Notes on factor prime factorizations for n-D polynomial matrices

被引：16

作者：

Liu, Jinwang ^{[2
]}

Wang, Mingsheng ^{[1
]}

机构：

[1] Chinese Acad Sci, State Key Lab Informat Secur, Inst Software, Beijing 100190, Peoples R China

[2] Hunan Univ Sci & Technol, Coll Math & Computat Sci, Xiangtan, Peoples R China

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2010年 / 21卷 / 01期

基金：

美国国家科学基金会;

关键词：

Multidimensional (n-D) systems; n-D polynomial matrices; Matrix factorizations; Polynomial ring; GROBNER BASES; SYSTEMS;

D O I：

10.1007/s11045-009-0089-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Multidimensional (n-D) polynomial matrix factorizations have been widely investigated during the past years due to the fundamental importance in the areas of multidimensional systems and signal processing. This note is a continuation of the papers in Wang (Circuits Syst I 54: 1398-1405, 2007 and Circuits Syst II 55: 61-64, 2008). A complete constructive criterion is given for a matrix of 2 x m full row rank to be FLP. We also present a reduction method for dealing with the factorization problems with cases of non-regular divisors.

引用

页码：87 / 97

页数：11

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