Abstract
A new approach to interpolation theory for functions of several variables is proposed. We develop a multivariate divided difference calculus based on the theory of noncommutative quasi-determinants. In addition, intriguing explicit formulae that connect the classical finite difference interpolation coefficients for univariate curves with multivariate interpolation coefficients for higher dimensional submanifolds are established.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 201-240 |
| Number of pages | 40 |
| Journal | Studies in Applied Mathematics |
| Volume | 116 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2006 |
Fingerprint
Dive into the research topics of 'On multivariate interpolation'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS