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Conference Papers Year : 2020

Ideal Interpolation, H-Bases and Symmetry

Abstract

Multivariate Lagrange and Hermite interpolation are examples of ideal interpolation. More generally an ideal interpolation problem is defined by a set of linear forms, on the polynomial ring, whose kernels intersect into an ideal. For an ideal interpolation problem with symmetry, we address the simultaneous computation of a symmetry adapted basis of the least interpolation space and the symmetry adapted H-basis of the ideal. Beside its manifest presence in the output, symmetry is exploited computationally at all stages of the algorithm.
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Dates and versions

hal-02482098 , version 1 (17-02-2020)
hal-02482098 , version 2 (07-07-2020)

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Cite

Erick Rodriguez Bazan, Evelyne Hubert. Ideal Interpolation, H-Bases and Symmetry. ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. ⟨10.1145/3373207.3404057⟩. ⟨hal-02482098v2⟩
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