Variable metric bundle methods : From conceptual to implementable forms
Lemaréchal, Claude
Sagastizábal, Claudia

Date: 1997
Abstract: To minimize a convex function, we combine Moreau-Yosida regularizations, quasi-Newton matrices and bundling mechanisms. First we develop conceptual forms using "reversal" quasi-Newton formulae and we state their global and local convergence. Then, to produce implementable versions, we incorporate a bundle strategy together with a "curve-search". No convergence results are given for the implementable versions; however some numerical illustrations show their good behaviour even for large-scale problems. .
Rights: Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.
Language: Anglès
Document: Article ; recerca ; Versió publicada
Subject: Convex optimization ; Proximal point ; Bundle method ; Quasi-Newton ; Primary 65K05 ; Secondary 90C30 ; 52A41 ; 90C25
Published in: Mathematical Programming, vol. 76 n. 3 (1997) p. 393-410, ISSN 0025-5610



18 p, 881.4 KB
 UAB restricted access

The record appears in these collections:
Articles > Research articles
Articles > Published articles

 Record created 2006-03-13, last modified 2024-12-07



   Favorit i Compartir