English

Prony's method in several variables: symbolic solutions by universal interpolation

Commutative Algebra 2017-03-14 v2 Numerical Analysis

Abstract

The paper considers a symbolic approach to Prony's method in several variables and its close connection to multivariate polynomial interpolation. Based on the concept of universal interpolation that can be seen as a weak generalization of univariate Chebychev systems, we can give estimates on the minimal number of evaluations needed to solve Prony's problem.

Keywords

Cite

@article{arxiv.1603.03944,
  title  = {Prony's method in several variables: symbolic solutions by universal interpolation},
  author = {Tomas Sauer},
  journal= {arXiv preprint arXiv:1603.03944},
  year   = {2017}
}

Comments

20 pages

R2 v1 2026-06-22T13:09:33.958Z