Multivariate Birkhoff Interpolation

ISBN-13: 9783540558705 / Angielski / Miękka / 1992 / 198 str.

Rudoph A. Lorentz; Rudolph A. Lorentz

Opis

The subject of this monograph is Lagrange, Hermite and Birkhoff interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to the subject which was introduced and developed by the author.

Spis treści

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.