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Interpolation from spaces spanned by monomials
This is an extension and emendation of recent results on the use of Gauss elimination in multivariate polynomial interpolation and, in particular, ideal interpolation.
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Gauss Elimination by Segments and Multivariate Polynomial Interpolation
The construction of a polynomial interpolant to data given at finite pointsets in ℝ d (or, most generally, to data specified by finitely many linear functionals) is considered, with...