On General Factorization Problems of n-D Polynomial Matrices

被引：0

作者：

Lu, Dong ^{[1
]}

Wang, Dingkang ^{[2
,3
]}

Xiao, Fanghui ^{[4
]}

Zheng, Xiaopeng ^{[2
,3
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China

[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[4] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Mathematical models; Process control; Indexes; Generators; Fitting; Control systems; Algebra; n-D polynomial matrix; general factorization; quotient module; regular divisor; free basis; FACTOR PRIME FACTORIZATIONS; MODULES;

D O I：

10.1109/TCSII.2022.3223934

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

from previous perspective, this brief studies relationships between the modules ? (F-1) and ? (F) generated by the rows of F-1 and F respectively under the assumption of F admitting a general factorization F = G1F1. Two necessary and sufficient conditions for the equivalence of ? (F-1) and quotient modules of ? (F) with respect to some polynomials are obtained for two different situations. As a by-product, some general factorizations of F by computing related quotient modules can be got.

引用

页码：1219 / 1223

页数：5

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