Ideal Projectors of Type Partial Derivative and Their Perturbations

Details Ideal Projectors of Type Partial Derivative and Their Perturbations Ideal Projectors of Type Partial Derivative and Their Perturbations

2011-02-12

arxiv.org/abs/1102.2475v3

Mathematics

Numerical Analysis

Scientific paper

In this paper, we verify Carl de Boor's conjecture on ideal projectors for real ideal projectors of type partial derivative by proving that there exists a positive $\eta\in \mathbb{R}$ such that a real ideal projector of type partial derivative $P$ is the pointwise limit of a sequence of Lagrange projectors which are perturbed from $P$ up to $\eta$ in magnitude. Furthermore, we present an algorithm for computing the value of such $\eta$ when the range of the Lagrange projectors is spanned by the Gr\"{o}bner \'{e}scalier of their kernels w.r.t. lexicographic order.

Affiliated with

Also associated with

No associations

Rating

Ideal Projectors of Type Partial Derivative and Their Perturbations 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 Ideal Projectors of Type Partial Derivative and Their Perturbations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ideal Projectors of Type Partial Derivative and Their Perturbations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84699