GRPIA: a new algorithm for computing interpolation polynomials

DOI10.1007/s11075-018-0543-xzbMath1477.65029OpenAlexW2804548480WikidataQ129774880 ScholiaQ129774880MaRDI QIDQ1710719

Mohammed Errachid, Abderrahim Messaoudi, Hassane Sadok, Khalide Jbilou

Publication date: 23 January 2019

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

Full work available at URL: https://doi.org/10.1007/s11075-018-0543-x

zbMATH Keywords

Schur complementpolynomial interpolationSylvester's identityrecursive polynomial interpolation algorithmgeneral Hermite polynomial interpolationmatrix recursive polynomial interpolation algorithm

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (6)

Lagrange multivariate polynomial interpolation: a random algorithmic approach ⋮ 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 ⋮ Matrix recursive polynomial interpolation algorithm: an algorithm for computing the interpolation polynomials ⋮ GRPIA ⋮ RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation

Cites Work

• Recursive interpolation, extrapolation and projection
• Other manifestations of the Schur complement
• Matrix recursive interpolation algorithm for block linear systems: Direct methods
• Schur complements and statistics
• Recursive polynomial interpolation algorithm (RPIA)
• New algorithm for computing the Hermite interpolation polynomial
• Manifestations of the Schur complement
• An Introduction to Numerical Analysis
• Recursive interpolation algorithm: A formalism for solving systems of linear equations. I: Direct methods

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