Polynomial and Rational Interpolation

Robert M. Corless and Nicolas Fillion
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Robert M. Corless: University of Western Ontario, Applied Mathematics
Nicolas Fillion: University of Western Ontario, Applied Mathematics

Chapter Chapter 8 in A Graduate Introduction to Numerical Methods, 2013, pp 331-401 from Springer

Abstract: Abstract This chapter gives a detailed discussion of barycentric Lagrange and Hermite interpolation and extends this to rational interpolation with a specified denominator. We discuss the conditioning of these interpolants. A numerically stable method to find roots of polynomials expressed in barycentric form via a generalized eigenvalue problem is given. We conclude with a section on piecewise polynomial interpolants. ⊲

Keywords: Condition Number; Lagrange Interpolation; Hermite Interpolation; Monomial Basis; Vandermonde Matrix (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-8453-0_8

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DOI: 10.1007/978-1-4614-8453-0_8

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