Algebraic multivariate interpolation

[en] The main goal of this work is to study polynomial interpolation in several variables from an algebraic perspective. To do so, we treat linear differential operators as algebraic elements, and consider the solution space of a polynomial interpolation problem as the orthogonal space via a sesqui-linear map of an ideal of multivariate polynomials. Examples and a Mathematica code are also provided.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carlos D'Andrea

Country

Spain

Related Organizations

University of Barcelona
Spain

Keywords

Teoria de l'aproximació, Bachelor's thesis, Interpolació (Matemàtica), Bachelor's theses, Approximation theory, Commutative rings, Treballs de fi de grau, Anells commutatius, Interpolation

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