On Multivariate Polynomial Interpolation
Abstract
The generalization of univariate interpolation to the multivariate context is made difficult by the fact that one has to decide just which of the many of its nice properties to preserve,as it is impossible to preserve them all. Particularly annoying is the fact that the dimensions of standard multivariate polynomial spaces, such as pi sub k, make up only a small subset of double Z, hence we cannot hope to interpolate uniquely at an arbitrary pointset contained as proper subclass within from an appropriate pi sub k. Further, even when we have dim pi sub k points at hand, they may fail to be total for pi sub k hence interpolation at these points from pi sub k may still not be possible.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1988
- Accession Number
- ADA204099
Entities
People
- Amos Ron
- Carl R. de Boor
Organizations
- University of Wisconsin–Madison