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
收藏
页码：87 / 97
页数：11
相关论文
共 50 条
  • [21] Generalization of Cayley-Hamilton theorem for n-D polynomial matrices
    Kaczorek, T
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) : 671 - 674
  • [22] Factorization for n-D Polynomial Matrices over Arbitrary Coefficient Field
    LIU Jinwang
    LI Dongmei
    ZHENG Licui
    JournalofSystemsScience&Complexity, 2020, 33 (01) : 215 - 229
  • [23] N-D POLYNOMIAL MATRIX EQUATIONS
    SEBEK, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (05) : 499 - 502
  • [24] 2-SIDED EQUATIONS AND SKEW PRIMENESS FOR N-D POLYNOMIAL-MATRICES
    SEBEK, M
    SYSTEMS & CONTROL LETTERS, 1989, 12 (04) : 331 - 337
  • [25] PRIME BOOLEAN MATRICES AND FACTORIZATIONS
    CHO, HH
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 190 : 87 - 98
  • [26] Factorizations for nD polynomial matrices
    Lin, ZP
    Ying, JQ
    Xu, L
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2001, 20 (06) : 601 - 618
  • [27] Factorizations fornD polynomial matrices
    Zhiping Lin
    Jiang Qian Ying
    Li Xu
    Circuits, Systems and Signal Processing, 2001, 20 : 601 - 618
  • [28] ON PRIMITIVE FACTORIZATIONS FOR 3-D POLYNOMIAL-MATRICES
    LIN, ZP
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (12): : 1024 - 1027
  • [29] Factorizations for a class of multivariate polynomial matrices
    Lu, Dong
    Wang, Dingkang
    Xiao, Fanghui
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2020, 31 (03) : 989 - 1004
  • [30] ON PARALLEL FACTORIZATIONS OF POLYNOMIAL-MATRICES
    PETRICHKOVICH, VM
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1989, (09): : 18 - 21
12345