On the Newton bivariate polynomial interpolation with applications

Authors:
Dimitris N. Varsamis;Nicholas P. Karampetakis
Affiliations:
Department of Informatics and Communications, Technological Educational Institute of Serres, Serres, Greece 62124;Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece 54124
Venue:
Multidimensional Systems and Signal Processing
Year:
2014

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Abstract

The main purpose of this work is to provide recursive algorithms for the computation of the Newton interpolation polynomial of a given two-variable function. The special case where the interpolation polynomial has known upper bounds on the degree of each indeterminate is studied and applied to the computation of the inverse of a two-variable polynomial matrix.