Counting and computing regions of $D$-decomposition: algebro-geometric approach

Details Counting and computing regions of $D$-decomposition: algebro-geometric approach Counting and computing regions of $D$-decomposition: algebro-geometric approach

2012-02-08

arxiv.org/abs/1202.1777v1

Mathematics

Optimization and Control

16 pages, 8 figures

Scientific paper

New methods for $D$-decomposition analysis are presented. They are based on topology of real algebraic varieties and computational real algebraic geometry. The estimate of number of root invariant regions for polynomial parametric families of polynomial and matrices is given. For the case of two parametric family more sharp estimate is proven. Theoretic results are supported by various numerical simulations that show higher precision of presented methods with respect to traditional ones. The presented methods are inherently global and could be applied for studying $D$-decomposition for the space of parameters as a whole instead of some prescribed regions. For symbolic computations the Maple v.14 software and its package RegularChains are used.

Affiliated with

Also associated with

No associations

Rating

Counting and computing regions of $D$-decomposition: algebro-geometric approach 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 Counting and computing regions of $D$-decomposition: algebro-geometric approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counting and computing regions of $D$-decomposition: algebro-geometric approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65185