| Title | Newton basis for multivariate Birkhoff interpolation |
| Author(s) | Tian Dong, Xuhui Wang, Shugong Zhang |
| Type | Article in Journal |
| Abstract | Multivariate Birkhoff interpolation is the most complex polynomial interpolation problem and people know little about it so far. In this paper, we introduce a special new type of multivariate Birkhoff interpolation and present a Newton paradigm for it. Using the algorithms proposed in this paper, we can construct a Hermite system for any interpolation problem of this type and then obtain a Newton basis for the problem w.r.t. the Hermite system. |
| Keywords | Multivariate Birkhoff interpolation, Hermite system, Connected interpolation, Connected closure |
| ISSN | 0377-0427 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0377042708005128 |
| Language | English |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 228 |
| Number | 1 |
| Pages | 466 - 479 |
| Year | 2009 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
