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

2016/03/12 by Sauer, Tomas · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1603.03944

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.

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Related

• Prony's method in several variables
• A multivariate generalization of Prony's method
• Decimated generalized Prony systems
• Accurate solution of near-colliding Prony systems via decimation and\n homotopy continuation
• Multivariate interpolation