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Titolo:
Some methods based on the D-gap function for solving monotone variational inequalities
Autore:
Solodov, MV; Tseng, P;
Indirizzi:
Inst Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil Inst Matemat Pura & Aplicada Rio De Janeiro Brazil BR-22460320 BC Brazil Univ Washington, Dept Math, Seattle, WA 98195 USA Univ Washington SeattleWA USA 98195 on, Dept Math, Seattle, WA 98195 USA
Titolo Testata:
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
fascicolo: 2-3, volume: 17, anno: 2000,
pagine: 255 - 277
SICI:
0926-6003(200012)17:2-3<255:SMBOTD>2.0.ZU;2-5
Fonte:
ISI
Lingua:
ENG
Soggetto:
COMPLEMENTARITY-PROBLEMS; NEWTON METHOD; UNCONSTRAINED MINIMIZATION; NONLINEAR COMPLEMENTARITY; DESCENT METHODS;
Keywords:
monotone variational inequalities; implicit Lagrangian; D-gap function; stationary point; descent methods;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
33
Recensione:
Indirizzi per estratti:
Indirizzo: Solodov, MV Inst Matemat Pura & Aplicada, Estrada Dona Castorina 110,Jardim Bot, BR-22460320 Rio De Janeiro, Brazil Inst Matemat Pura & Aplicada Estrada Dona Castorina 110,Jardim Bot Rio De Janeiro Brazil BR-22460320 BC
Citazione:
M.V. Solodov e P. Tseng, "Some methods based on the D-gap function for solving monotone variational inequalities", COMPUT OP A, 17(2-3), 2000, pp. 255-277

Abstract

The D-gap function has been useful in developing unconstrained descent methods for solving strongly monotone variational inequality problems. We showthat the D-gap function has certain properties that are useful also for monotone variational inequality problems with bounded feasible set. Accordingly, we develop two unconstrained methods based on them that are similar in spirit to a feasible method of Zhu and Marcotte based on the regularized-gap function. We further discuss a third method based on applying the D-gap function to a regularized problem. Preliminary numerical experience is also reported.

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Documento generato il 04/07/20 alle ore 14:28:21