Symmetry Preserving Interpolation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2019

Symmetry Preserving Interpolation

Abstract

The article addresses multivariate interpolation in the presence ofsymmetry. Interpolation is a prime tool in algebraic computationwhile symmetry is a qualitative feature that can be more relevantto a mathematical model than the numerical accuracy of the pa-rameters. The article shows how to exactly preserve symmetryin multivariate interpolation while exploiting it to alleviate thecomputational cost. We revisit minimal degree and least interpo-lation with symmetry adapted bases, rather than monomial bases.This allows to construct bases of invariant interpolation spaces inblocks, capturing the inherent redundancy in the computations.We show that the so constructed symmetry adapted interpolationbases alleviate the computational cost of any interpolation problemand automatically preserve any aquivariance of thir interpolation problem might have.
Fichier principal
Vignette du fichier
Symmetry preserving interpolation.pdf (1.25 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01994016 , version 1 (25-01-2019)

Identifiers

Cite

Erick Rodriguez Bazan, Evelyne Hubert. Symmetry Preserving Interpolation. ISSAC 2019 - International Symposium on Symbolic and Algebraic Computation, Jul 2019, Beijing, China. ⟨10.1145/3326229.3326247⟩. ⟨hal-01994016⟩
279 View
284 Download

Altmetric

Share

Gmail Facebook X LinkedIn More