Abstract
The Hermite interpolation problem by bivariate algebraic polynomials is investigated. The interpolation parameters are the values of a function and its partial derivatives up to some ordern at the nodesz and the space of the polynomials is π n (R 2) := polynomials of total degree≤n. We describe the class of almost-regular Hermite interpolation schemes under some restrictions and give a complete description of perfect singular schemes.
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