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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Bibliographic Details
Main Author Lorentz, Rudolph A
Format eBook Book
LanguageEnglish
Published Berlin, Heidelberg Springer-Verlag 1992
Springer Berlin / Heidelberg
Springer Berlin Heidelberg
Springer
Edition1
SeriesLecture Notes in Mathematics
Subjects
Interpolation
Mathematics
Mathematics and Statistics
Numerical Analysis
Real Functions
Spline theory
Online AccessGet full text
ISBN3540558705
9780387558707
0387558705
9783540558705
9783662170588
3662170582
ISSN0075-8434
1617-9692
DOI10.1007/BFb0088788

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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.