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Prony’s method in several variables

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Abstract

The paper gives an extension of Prony’s method to the multivariate case which is based on the relationship between polynomial interpolation, normal forms modulo ideals and H-bases. Though the approach is mainly of algebraic nature, we also give an algorithm using techniques from Numerical Linear Algebra to solve the problem in a fast and efficient way.

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  1. Lehrstuhl für Mathematik mit Schwerpunkt Digitale Bildverarbeitung & FORWISS, Universität Passau, Innstr. 43, Passau, 94053, Germany

    Tomas Sauer

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  1. Tomas Sauer
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Sauer, T. Prony’s method in several variables. Numer. Math. 136, 411–438 (2017). https://doi.org/10.1007/s00211-016-0844-8

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  • DOI: https://doi.org/10.1007/s00211-016-0844-8

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