Optimization of dynamical systems

Ladislav Lukšan; Jan Vlček

Kybernetika (1996)

  • Volume: 32, Issue: 5, page 465-482
  • ISSN: 0023-5954

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Lukšan, Ladislav, and Vlček, Jan. "Optimization of dynamical systems." Kybernetika 32.5 (1996): 465-482. <http://eudml.org/doc/27975>.

@article{Lukšan1996,
author = {Lukšan, Ladislav, Vlček, Jan},
journal = {Kybernetika},
keywords = {dynamical systems; numerical examples; parameter optimization problem; Gauss-Newton-like trust region method},
language = {eng},
number = {5},
pages = {465-482},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimization of dynamical systems},
url = {http://eudml.org/doc/27975},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Lukšan, Ladislav
AU - Vlček, Jan
TI - Optimization of dynamical systems
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 5
SP - 465
EP - 482
LA - eng
KW - dynamical systems; numerical examples; parameter optimization problem; Gauss-Newton-like trust region method
UR - http://eudml.org/doc/27975
ER -

References

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  1. Y. G. Evtushenko, Automatic differentiation viewed from optimal control theory, In: Automatic Differentiation of Algorithms: Theory, Implementation, and Application (A. Griewank and G. F. Corliss, eds.), SIAM, Philadelphia 1991, pp. 25-30. (1991) Zbl0782.65022MR1143787
  2. R. Fletcher, C. Xu, Hybrid methods for nonlinear least squares, IMA J. Numer. Anal. 7 (1987), 371-389. (1987) Zbl0648.65051MR0968531
  3. E. Harier S. P. Norsett, G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, Springer Verlag, Berlin 1987. (1987) MR0868663
  4. P. Hartman, Ordinary Differential Equations, John Wiley & Sons, New York 1964. (1964) Zbl0125.32102MR0171038
  5. A. Griewank, On automatic differentiation, In: Mathematical Programming: Recent Development and Application (M. Iri and K. Tanabe, eds.), Kluwer Academic Publishers, London 1989, pp. 83-108. (1989) Zbl0696.65015MR1114312
  6. L. Lukšan, Hybrid methods for large sparse nonlinear least squares, J. Optim. Theory Appl. 89 (1996), 575-595. (1996) MR1393364
  7. M. J. D. Powell, Convergence properties of a class of minimization algorithms, In: Nonlinear Programming 2 (O. L. Mangasarian, R. R. Meyer and S. M. Robinson, eds.), Academic Press, London 1975, pp. 1-27. (1975) Zbl0321.90045MR0386270
  8. M. J. D. Powell, On the global convergence of trust region algorithms for unconstrained minimization, Math. Programming 29 (1984), 297-303. (1984) Zbl0569.90069MR0753758

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