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doi:10.1016/S0021-9045(02)00023-0 
Copyright © 2002 Elsevier Science (USA). All rights reserved.
On polynomial interpolation of two variables
Received 26 February 2002;
accepted 27 September 2002. ;
Available online 19 December 2002.
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Abstract
Polynomial interpolation of two variables based on points that are located on multiple circles is studied. First, the poisedness of a Birkhoff interpolation on points that are located on several concentric circles is established. Second, using a factorization method, the poisedness of a Hermite interpolation based on points located on various circles, not necessarily concentric, is established. Even in the case of Lagrange interpolation, this gives many new sets of poised interpolation points.
Author Keywords: Lagrange interpolation; Hermite interpolation; Polynomials; Two variables; Factorization of polynomials
Mathematical subject codes: 41A05; 65D05
