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 |