Advances in Computational Mathematics

, Volume 23, Issue 4, pp 393–414 | Cite as

Intertwining unisolvent arrays for multivariate Lagrange interpolation

Article

Abstract

Generalizing a classical idea of Biermann, we study a way of constructing a unisolvent array for Lagrange interpolation in Cn+m out of two suitably ordered unisolvent arrays respectively in Cn and Cm. For this new array, important objects of Lagrange interpolation theory (fundamental Lagrange polynomials, Newton polynomials, divided difference operator, vandermondian, etc.) are computed.

Keywords

multivariate polynomials Lagrange interpolation unisolvent arrays 

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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques E. PicardUniversité Paul SabatierToulouse Cedex 4France

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