, Volume 23, Issue 4, pp 393-414

Intertwining unisolvent arrays for multivariate Lagrange interpolation

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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.

Communicated by T. Sauer

AMS subject classification

41A05, 41A63