The algebra of linear functionals on polynomials, with applications to Padé approximation

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1996 English Publisher:Springer Science and Business Media LLCJournal:Numerical Algorithms, volume 11, pages 25-33 (issn: 1017-1398, eissn: 1572-9265,

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Authors: Claude Brezinski; Pascal Maroni;

doi: 10.1007/bf02142486

The algebra of linear functionals on polynomials, with applications to Padé approximation

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Abstract

This paper is an interesting and complete study of the algebra of linear functionals on the vector space of complex polynomials. The results obtained have application to Padé and Padé-type approximants and lead to a different procedure for increasing the order of approximations, as well as to a new formula for the relative error.

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Keywords

complex polynomials, algebra of linear functionals, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Padé approximation

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