Recursive polynomial interpolation algorithm (RPIA)

DOI10.1007/s11075-017-0276-2zbMath1386.65070OpenAlexW2588664555MaRDI QIDQ1681774

Abderrahim Messaoudi, Hassane Sadok

Publication date: 24 November 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0276-2

zbMATH Keywords

Schur complementNewton methodSylvester identityVandermonde matrixpolynomial interpolationLagrange methodrecursive interpolation algorithmrecursive polynomial interpolation algorithm

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (7)

RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ GRPIA: a new algorithm for computing interpolation polynomials ⋮ New algorithm for computing the Hermite interpolation polynomial ⋮ Computing recursive orthogonal polynomial with Schur complements ⋮ Matrix recursive polynomial interpolation algorithm: an algorithm for computing the interpolation polynomials ⋮ RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation

Uses Software

• OPQ

Cites Work

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• Recursive interpolation, extrapolation and projection
• Other manifestations of the Schur complement
• Schur complements and statistics
• Manifestations of the Schur complement
• An Introduction to Numerical Analysis
• Some properties of the recursive projection and interpolation algorithms
• Recursive interpolation algorithm: A formalism for solving systems of linear equations. I: Direct methods
• Recursive interpolation algorithm: A formalism for solving systems of linear equations. II: Iterative methods

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