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ETNA - Electronic Transactions on Numerical Analysis
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Verlag der Österreichischen Akademie der Wissenschaften Austrian Academy of Sciences Press
A-1011 Wien, Dr. Ignaz Seipel-Platz 2
Tel. +43-1-515 81/DW 3420, Fax +43-1-515 81/DW 3400 https://verlag.oeaw.ac.at, e-mail: verlag@oeaw.ac.at |
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DATUM, UNTERSCHRIFT / DATE, SIGNATURE
BANK AUSTRIA CREDITANSTALT, WIEN (IBAN AT04 1100 0006 2280 0100, BIC BKAUATWW), DEUTSCHE BANK MÜNCHEN (IBAN DE16 7007 0024 0238 8270 00, BIC DEUTDEDBMUC)
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ETNA - Electronic Transactions on Numerical Analysis, pp. 123-135, 2024/03/18
In this work we propose a theoretical and practical method to transform the multivariate Lagrange polynomial interpolation problem into a univariate problem. This transformation allows a wide exploitation of all one-variable polynomial Lagrange interpolation schemes such as Newton's scheme or split differences, etc. Numerical comparison with other existing methods will be studied.
Keywords: polynomial interpolation, multivariate Lagrange polynomial interpolation problem