Multidimensional Systems and Signal Processing

, Volume 25, Issue 1, pp 179–209 | Cite as

On the Newton bivariate polynomial interpolation with applications

  • Dimitris N. Varsamis
  • Nicholas P. Karampetakis
Article

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.

Keywords

Bivariate polynomials Newton bivariate interpolation Inverse polynomial matrix 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Dimitris N. Varsamis
    • 1
  • Nicholas P. Karampetakis
    • 2
  1. 1.Department of Informatics and CommunicationsTechnological Educational Institute of SerresSerresGreece
  2. 2.Department of MathematicsAristotle University of ThessalonikiThessalonikiGreece

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