Weights Guaranteeing Polefree Barycentric Rational Interpolation

Hamidreza Mofidi   and Fazel Hadadifard

doi:10.17485/ijst/2013/v6i11.5

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Weights Guaranteeing Polefree Barycentric Rational Interpolation

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2013/v6i11.5

Year: 2013, Volume: 6, Issue: 11, Pages: 1-9

Original Article

Weights Guaranteeing Polefree Barycentric Rational Interpolation

Hamidreza Mofidi^1* and Fazel Hadadifard²

¹Department of Applied Mathematics, [email protected]
² Department of Mathematics, [email protected]
*Author For Correspondence
Hamidreza Mofidi
Department of Applied Mathematics,
Email:[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The barycentric form of rational interpolants has some advantages among other representations [5]. Some authors have suggested many different kinds of weights ensuring that the rational interpolant written in barycentric form has no real poles. Here we give a necessary and sufficient condition for a rational interpolant written in barycentric form to have no poles when the nodes are located symmetrically relative to zero point. For some particular cases, some sets of suitable weights are also given.
Keywords: Barycentric Formula, Rational Interpolation, Interpolation. Mathematics Subject Classification: 65D05; 65D15; 65D25.