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Numerical solution of positive sum exponential equations

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Publication:1262090
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DOI10.1016/0096-3003(89)90008-8zbMath0685.65047OpenAlexW1991719121MaRDI QIDQ1262090

K. Appert

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90008-8


zbMATH Keywords

instabilityhomotopy continuation methodsums of exponentialsProny's methodinverse interpolation problempositive sum exponential equations


Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical interpolation (65D05) Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03) Approximation by other special function classes (41A30)


Related Items (2)

Some properties of mappings induced by Dirichlet polynomials ⋮ An extended Prony's interpolation scheme on an equispaced grid


Uses Software

  • minpack
  • HOMPACK


Cites Work

  • Unnamed Item
  • Finding roots of equations in given neighborhoods
  • Parameter identification by continuation methods
  • Algorithm 652
  • On Least Squares Exponential Sum Approximation With Positive Coefficients
  • Fitting Empirical Data by Positive Sums of Exponentials


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