http://www.cnr.it/ontology/cnr/individuo/prodotto/ID204086
Piecewise quadratic approximations in convex numerical optimization (Articolo in rivista)
- Type
- Label
- Piecewise quadratic approximations in convex numerical optimization (Articolo in rivista) (literal)
- Anno
- 2011-01-01T00:00:00+01:00 (literal)
- Alternative label
Annabella Astorino, Antonio Frangioni, Manlio Gaudioso, Enrico Gorgone (2011)
Piecewise quadratic approximations in convex numerical optimization
in SIAM journal on optimization (Print)
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Annabella Astorino, Antonio Frangioni, Manlio Gaudioso, Enrico Gorgone (literal)
- Pagina inizio
- Pagina fine
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- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- ICAR-CNR, Dip. di Informatica- Università di Pisa, DEIS-UNICAL, DEIS-UNICAL (literal)
- Titolo
- Piecewise quadratic approximations in convex numerical optimization (literal)
- Abstract
- We present a bundle method for convex nondifferentiable minimization where the
model is a piecewise-quadratic convex approximation of the objective function. Unlike standard
bundle approaches, the model only needs to support the objective function from below at a properly
chosen (small) subset of points, as opposed to everywhere. We provide the convergence analysis
for the algorithm, with a general form of master problem which combines features of trust region
stabilization and proximal stabilization, taking care of all the important practical aspects such as
proper handling of the proximity parameters and the bundle of information. Numerical results are
also reported. (literal)
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