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On polynomial interpolation of two variables

✍ Scribed by Borislav Bojanov; Yuan Xu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
183 KB
Volume
120
Category
Article
ISSN
0021-9045

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✦ Synopsis

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.

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