Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One

Details Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One

2012-01-17

arxiv.org/abs/1201.3443v1

Mathematics

Numerical Analysis

20 pages

Scientific paper

In this paper we describe how to improve the performance of the symbolic-numeric method in (Li and Zhi,2009, 2011) for computing the multiplicity structure and refining approximate isolated singular solutions in the breadth one case. By introducing a parameterized and deflated system with smoothing parameters, we generalize the algorithm in (Rump and Graillat, 2009) to compute verified error bounds such that a slightly perturbed polynomial system is guaranteed to have a breadth-one multiple root within the computed bounds.

Affiliated with

Also associated with

No associations

Rating

Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One 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 Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96779