Thomas Decomposition of Algebraic and Differential Systems

Details Thomas Decomposition of Algebraic and Differential Systems Thomas Decomposition of Algebraic and Differential Systems

2010-08-23

arxiv.org/abs/1008.3767v1

Mathematics

Commutative Algebra

Scientific paper

In this paper we consider disjoint decomposition of algebraic and non-linear partial differential systems of equations and inequations into so-called simple subsystems. We exploit Thomas decomposition ideas and develop them into a new algorithm. For algebraic systems simplicity means triangularity, squarefreeness and non-vanishing initials. For differential systems the algorithm provides not only algebraic simplicity but also involutivity. The algorithm has been implemented in Maple.

Affiliated with

Also associated with

No associations

Rating

Thomas Decomposition of Algebraic and Differential Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thomas Decomposition of Algebraic and Differential Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thomas Decomposition of Algebraic and Differential Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465569