数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (4): 1063-1080.doi: 10.1016/S0252-9602(09)60086-2

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RITT-WU’S CHARACTERISTIC SET METHOD FOR ORDINARY DIFFERENCE POLYNOMIAL SYSTEMS WITH ARBITRARY ORDERING

高小山,袁春明,张桂林   

  1. Key Laboratory of Mathematics Mechanization Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2009-02-18 出版日期:2009-07-20 发布日期:2009-07-20

RITT-WU’S CHARACTERISTIC SET METHOD FOR ORDINARY DIFFERENCE POLYNOMIAL SYSTEMS WITH ARBITRARY ORDERING

 GAO Xiao-Shan, YUAN Chun-Meng, ZHANG Gui-Lin   

  1. Key Laboratory of Mathematics Mechanization Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2009-02-18 Online:2009-07-20 Published:2009-07-20

摘要:

In this paper, a Ritt-Wu’s characteristic set method for ordinary difference systems is proposed, which is valid for any admissible ordering. New definition for irre-ducible chains and new zero decomposition algorithms are also proposed.

关键词: difference polynomial, ascending chain, characteristic set, Ritt-Wu’s zero decomposition theorem

Abstract:

In this paper, a Ritt-Wu’s characteristic set method for ordinary difference systems is proposed, which is valid for any admissible ordering. New definition for irre-ducible chains and new zero decomposition algorithms are also proposed.

Key words: difference polynomial, ascending chain, characteristic set, Ritt-Wu’s zero decomposition theorem

中图分类号: 

  • 12H10