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The Perturbed Tikhonov's Algorithm and Some of its Applications
Tossings, Patricia
1994In ESAIM: Mathematical Modelling and Numerical Analysis, 28 (2), p. 189-221
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Keywords :
Tikhonov's regularization; Perturbation; Variational convergence; Convex optimization; Variational inclusions; Variational inequalities
Abstract :
[en] The proximal point algorithm has known these last years many developments connected with the expansion of the variational convergence theory. Motivated by this fact and inspired by the work of A. Tikhonov and V. Arsénine in the context of convex optimization, we present a new algorithm for searching a zero of a maximal monotone operator on a real Hilbert space. We study the perturbed version of this algorithm and establish a critical comparison with the perturbed proximal point algorithm. We apply this new algorithm to convex optimization and to variational inclusions or, more particularly, to variational inequalities.
Disciplines :
Mathematics
Author, co-author :
Tossings, Patricia ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales
Language :
English
Title :
The Perturbed Tikhonov's Algorithm and Some of its Applications
Publication date :
1994
Journal title :
ESAIM: Mathematical Modelling and Numerical Analysis
ISSN :
0764-583X
eISSN :
1290-3841
Publisher :
Elsevier, Paris, France
Volume :
28
Issue :
2
Pages :
189-221
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 05 April 2013

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