A proximal regularization of the steepest descent method

A. N. Iusem; B. F. Svaiter

RAIRO - Operations Research - Recherche Opérationnelle (1995)

  • Volume: 29, Issue: 2, page 123-130
  • ISSN: 0399-0559

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Iusem, A. N., and Svaiter, B. F.. "A proximal regularization of the steepest descent method." RAIRO - Operations Research - Recherche Opérationnelle 29.2 (1995): 123-130. <http://eudml.org/doc/105100>.

@article{Iusem1995,
author = {Iusem, A. N., Svaiter, B. F.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {proximal point method; quadratic regularization term; steepest descent},
language = {eng},
number = {2},
pages = {123-130},
publisher = {EDP-Sciences},
title = {A proximal regularization of the steepest descent method},
url = {http://eudml.org/doc/105100},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Iusem, A. N.
AU - Svaiter, B. F.
TI - A proximal regularization of the steepest descent method
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1995
PB - EDP-Sciences
VL - 29
IS - 2
SP - 123
EP - 130
LA - eng
KW - proximal point method; quadratic regularization term; steepest descent
UR - http://eudml.org/doc/105100
ER -

References

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  1. 1. M. AVRIEL, Nonlinear Programming, Analysis and Methods, Prentice Hall, New Jersey, 1976. Zbl0498.90069MR489892
  2. 2. Yu. M ERMOL'EV, On the method of generalized stochastic gradients and quasi-Fejér sequences, Cybernetics, 1969, 5, p. 208-220. 
  3. 3. A. N. IUSEM, B. F. SVAITER and M. TEBOULLE, Entropy-like proximal methods in convex programming (to be published in Mathematics of Operations Research). Zbl0821.90092
  4. 4. B. LEMAIRE, The proximal algorithm, in International Series of Numerical Mathematics, 1989, 87, (J. P. Penot, ed), Birkhauser, Basel, p. 73-87. Zbl0692.90079MR1001168
  5. 5. J.-J MOREAU, Proximité et dualité dans un espace Hibertien, Bull. Soc. Math. France, 1965, 93, p. 273-299. Zbl0136.12101MR201952
  6. 6. B. POLYAK, Introduction to Optimization, Optimization Software, New York, 1987. Zbl0652.49002MR1099605
  7. 7. R. T. ROCKAFELLAR, Augmented Lagragians and applications of the proximal point algorithm in convex programming, Mathematics of Operations Research, 1976, 1, p. 97-116. Zbl0402.90076MR418919
  8. 8. R. T. ROCKAFELLAR, Monotone operators and the proximal point algorithm, SIAM Journal on Control and Optimization, 1976, 14, p. 877-898. Zbl0358.90053MR410483

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