|
|||||
|
|
Lagrange‐type basis for multivariate uniform integrable tensor‐product Birkhoff interpolation |
|
| Authors: | Lili Xu Na Lei |
| Institution: | 1. School of Mathematics, Jilin University, Changchun, PR China;2. DUT‐RU International School of Information and Software Engineering, Dalian University of Technology, Dalian, PR China;3. Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province, Dalian, PR China |
| Abstract: | Birkhoff interpolation is the most general interpolation scheme. We study the Lagrange‐type basis for uniform integrable tensor‐product Birkhoff interpolation. We prove that the Lagrange‐type basis of multivariate uniform tensor‐product Birkhoff interpolation can be obtained by multiplying corresponding univariate Lagrange‐type basis when the integrable condition is satisfied. This leads to less computational complexity, which drops to  from  . |
| Keywords: | multivariate Birkhoff interpolation uniform integrable tensor‐product type Lagrange‐type basis |