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
  • [1] Notes on factor prime factorizations for n-D polynomial matrices
    Jinwang Liu
    Mingsheng Wang
    Multidimensional Systems and Signal Processing, 2010, 21 : 87 - 97
  • [2] On factor prime factorizations for n-D polynomial matrices
    Wang, Mingsheng
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2007, 54 (06) : 1398 - 1405
  • [3] On minor prime factorizations for n-D polynomial matrices
    Lin, ZP
    Xu, L
    Fan, HJ
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (09) : 568 - 571
  • [4] On General Factorizations for n-D Polynomial Matrices
    Jinwang Liu
    Dongmei Li
    Mingsheng Wang
    Circuits, Systems, and Signal Processing, 2011, 30 : 553 - 566
  • [5] Notes on n-D polynomial matrix factorizations
    Sch. of Elec. and Electron. Eng., Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore
    Multidimens Syst Signal Proc, 4 (379-393):
  • [6] Notes on n-D polynomial matrix factorizations
    Lin, ZP
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1999, 10 (04) : 379 - 393
  • [7] On General Factorizations for n-D Polynomial Matrices
    Liu, Jinwang
    Li, Dongmei
    Wang, Mingsheng
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (03) : 553 - 566
  • [8] Notes on n-D Polynomial Matrix Factorizations
    Zhiping Lin
    Multidimensional Systems and Signal Processing, 1999, 10 : 379 - 393
  • [9] Prime factorization of N-D polynomial matrices
    Park, H
    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III: GENERAL & NONLINEAR CIRCUITS AND SYSTEMS, 2003, : 666 - 669
  • [10] On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices
    GUAN Jiancheng
    LI Weiqing
    OUYANG Baiyu
    JournalofSystemsScience&Complexity, 2018, 31 (06) : 1647 - 1658
12345