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On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Author
ATTOUCH, Hedy1 ; BOLTE, Jérome2
[1] I3M UMR CNRS 5149, Université Montpellier II, Place Eugène Bataillon, 34095 Montpellier, France
[2] Equipe Combinatoire et Optimisation (UMR 7090), Case 189, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris, France
Conference title
Special issue on nonlinear convex optimization and variational inequalities
Conference name
French-Latin American Congress in Applied Mathematics (7 ; Santiago 2005-01)
Author (monograph)
ATTOUCH, Hedy (Editor)1 ; COMINETTI, Roberto (Editor)2 ; TEBOULLE, Marc (Editor)3
[1] Université Montpellier II, Montpellier, France
[2] Universidad de Chile, Santigao, Chile
[3] Tel-Aviv University, Tel-Aviv, Israel
Source

Mathematical programming (Print). 2009, Vol 116, Num 1-2, pp 5-16, 12 p ; ref : 30 ref

CODEN
MHPGA4
ISSN
0025-5610
Scientific domain
Control theory, operational research; Mathematics
Publisher
Springer, Heidelberg
Publication country
Germany
Document type
Conference Paper
Language
English
Author keyword
47N10 90C30 Proximal algorithm . Lojasiewicz inequality . Subanalytic functions, 90C26
Keyword (fr)
Analyse non lisse Fonction continue Planéité Point critique Programmation non convexe Programmation non linéaire Proximal Taux convergence Ensemble semi algébrique Fonction sous analytique Inégalité Lojasiewicz
Keyword (en)
Nonsmooth analysis Continuous function Flatness Critical point Non convex programming Non linear programming Proximal Convergence rate Semi algebraic set Subanalytic function Lojasiewicz Inequality
Keyword (es)
Analisis non regular Función continua Planeidad Punto crítico Programación no convexa Programación no lineal Proximal Relación convergencia Conjunto semi algebraico Función sub analítica Desigualdad Lojasiewicz
Classification
Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E17 Operator theory

Pascal
001 Exact sciences and technology / 001D Applied sciences / 001D01 Operational research. Management science / 001D01A Operational research and scientific management / 001D01A03 Mathematical programming

Discipline
Mathematics Operational research. Management
Origin
Inist-CNRS
Database
PASCAL
INIST identifier
21059341

Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS

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