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.
Origin : Files produced by the author(s)
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