A characteristic set method for reflexive differential-difference polynomial systems

DOI

10.2991/iccsee.2013.76How to use a DOI?

Keywords

Characteristic set, Reflexive difference and differential polynomials, Generalized term order , Zero decomposition algorithm

Abstract

In this paper, a zero decomposition algorithm based on characteristic set methods are developed in reflexive difference and differential polynomial systems. The “generalized term order” is used to deal with negative exponents of difference operators in DD-polynomials and the reduction of two DD-polynomials is discussed. We introduce the concept of characteristic set in reflexive DD-polynomial systems and propose a algorithm which can be used to decompose the zero set of a finitely generated reflexive DD-polynomial set into the union of zero sets of coherent chains.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhiwang Gan
AU  - Meng Zhou
PY  - 2013/03
DA  - 2013/03
TI  - A characteristic set method for reflexive differential-difference polynomial systems
BT  - Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013)
PB  - Atlantis Press
SP  - 295
EP  - 300
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccsee.2013.76
DO  - 10.2991/iccsee.2013.76
ID  - Gan2013/03
ER  -