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Parameter estimation of monomial-exponential sums in one and two variables

Author

Listed:
  • Fermo, L.
  • van der Mee, C.
  • Seatzu, S.

Abstract

In this paper we propose a matrix-pencil method for the numerical identification of the parameters of monomial-exponential sums in one and two variables. While in the univariate case the proposed method is a variant of that developed by the authors in a preceding paper, the bivariate case is treated for the first time here. In the bivariate case, the method we propose, easily extendible to more variables, reduces the problem to a pair of univariate problems and subsequently to the solution of a linear system. As a result, the relative errors in the univariate and in the bivariate case are almost of the same order.

Suggested Citation

  • Fermo, L. & van der Mee, C. & Seatzu, S., 2015. "Parameter estimation of monomial-exponential sums in one and two variables," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 576-586.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:576-586
    DOI: 10.1016/j.amc.2015.02.033
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