Multivariate Birkhoff Interpolation
The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to this subject which was introduced and developed by G.G. Lorentz and the author. One particularly interesting feature...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Univariate interpolation
- Basic properties of Birkhoff interpolation
- Singular interpolation schemes
- Shifts and coalescences
- Decomposition theorems
- Reduction
- Examples
- Uniform Hermite interpolation of tensor-product type
- Uniform Hermite interpolation of type total degree
- Vandermonde determinants
- A theorem of Severi
- Kergin interpolation via Birkhoff interpolation