Elsevier

Computers & Chemistry

Volume 20, Issue 3, September 1996, Pages 331-337
Computers & Chemistry

Parameter estimation in complicated rational functions

https://doi.org/10.1016/0097-8485(95)00082-8Get rights and content

Abstract

An extension of the previously proposed method [Dimitrov S.D. & Kamenski D.I. (1991) Computers Chem. Engng 15, 657] for unconstrained parameter estimation in models, expressed as the ratio of any linear functions of the unknown parameters, is described. The results from simulated and real data show that the method provides non-local convergence properties. Also, it is superior to the Gauss-Newton and Marquardt algorithms with respect to sensitivity to the initial parameter estimates.

References (21)

  • S.D. Dimitrov et al.

    Computers Chem. Engng

    (1991)
  • S.D. Dimitrov et al.

    Computers Chem. Engng

    (1995)
  • D.I. Kamenski et al.

    Computers Chem. Engng

    (1993)
  • O.G. Mekenyan et al.

    Eur. Polym. J.

    (1983)
  • J.W. Ponton

    Computers Chem. Engng

    (1993)
  • G.A. Baker et al.

    Padé Approximants

    (1981)
  • Y. Bard

    Nonlinear Parameter Estimation

    (1974)
  • J.E. Dennis et al.

    Numerical Methods for Unconstrained Optimization and Nonlinear Equations

    (1983)
  • V.A. Evstatiev et al.

    DAN SSSR

    (1979)
  • G.E. Forsythe et al.

    Computer Methods for Mathematical Computations

    (1977)
There are more references available in the full text version of this article.

Cited by (8)

View all citing articles on Scopus
View full text