A note on the usage of nondifferentiable exact penalties in some special optimization problems

Jiří V. Outrata

Kybernetika (1988)

  • Volume: 24, Issue: 4, page 251-258
  • ISSN: 0023-5954

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Outrata, Jiří V.. "A note on the usage of nondifferentiable exact penalties in some special optimization problems." Kybernetika 24.4 (1988): 251-258. <http://eudml.org/doc/27574>.

@article{Outrata1988,
author = {Outrata, Jiří V.},
journal = {Kybernetika},
keywords = {exact nondifferentiable penalties; special constraint structure; generalized gradients; nondifferentiable minimization},
language = {eng},
number = {4},
pages = {251-258},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A note on the usage of nondifferentiable exact penalties in some special optimization problems},
url = {http://eudml.org/doc/27574},
volume = {24},
year = {1988},
}

TY - JOUR
AU - Outrata, Jiří V.
TI - A note on the usage of nondifferentiable exact penalties in some special optimization problems
JO - Kybernetika
PY - 1988
PB - Institute of Information Theory and Automation AS CR
VL - 24
IS - 4
SP - 251
EP - 258
LA - eng
KW - exact nondifferentiable penalties; special constraint structure; generalized gradients; nondifferentiable minimization
UR - http://eudml.org/doc/27574
ER -

References

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  1. F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York 1983. (1983) Zbl0582.49001MR0709590
  2. J. Haslinger, T. Roubíček, Optimal control of variational inequalities. Approximation theory and numerical realization, Appl. Math. Optimiz. 14 (1986), 187-201. (1986) MR0867717
  3. K. Kiwiel, Methods of Descent for Nondifferentiable Optimization, (Lecture Notes Mathematics 1133.) Springer-Verlag, Berlin--Heidelberg--New York 1985. (1985) Zbl0561.90059MR0797754
  4. Cl. Lemaréchal J. J. Strodiot, A. Bihain, On a bundle algorithm for nonsmooth optimization, NPS 4, Madison 1980. (1980) 
  5. R. Mifflin, Semismooth and semiconvex functions in constrained optimization, SIAM J. Control Optimiz. 15 (1977), 959-972. (1977) Zbl0376.90081MR0461556
  6. J. V. Outrata, On the usage of bundle methods in optimal control of nondifferentable systems, In: Trends in Mathematical Optimization -- 4th French-German Conference on Optimization (K.-H. Hoffmann, J.-B. Hiriart-Urruty, C. Lemaréchal, J. Zowe, eds.). Birkhäuser Verlag, Basel--Boston 1988, 233-246. (1988) MR1017955

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