Geodesic
Multidimensional Hermite interpolation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 700-710

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The Hermite interpolation formulas are based on the interpretation of interpolation nodes as roots of suitable polynomials. Therefore, such formulas belong to the class of algebraic interpolations. The article considers a multidimensional variant of Hermite interpolation, presents a class of algebraic systems of equations for which the Hermite interpolation polynomial is represented by an explicit formula. The theory of multidimensional residues is used as the main tool.
Keywords: grothendieck residue, local algebra.
Mots-clés : interpolation 
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     author = {M. E. Durakov and E. K. Leinartas and A. K. Tsikh},
     title = {Multidimensional {Hermite} interpolation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a62/}
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M. E. Durakov; E. K. Leinartas; A. K. Tsikh. Multidimensional Hermite interpolation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 700-710. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a62/