NEW CONVERGENCE RESULTS ON AN ALGORITHM FOR NORM CONSTRAINED REGULARIZATION AND RELATED PROBLEMS

Authors
MARTINEZ JM SANTOS SA
Citation
Jm. Martinez et Sa. Santos, NEW CONVERGENCE RESULTS ON AN ALGORITHM FOR NORM CONSTRAINED REGULARIZATION AND RELATED PROBLEMS, RAIRO. Recherche operationnelle, 31(3), 1997, pp. 269-294
Citations number
26
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science
Journal title
RAIRO. Recherche operationnelle → ACNP
ISSN journal
03990559
Volume
31
Issue
3
Year of publication
1997
Pages
269 - 294
Database
ISI
SICI code
0399-0559(1997)31:3<269:NCROAA>2.0.ZU;2-Q
Abstract
The constrained least-squares regularization of nonlinear ill-posed pr oblems is a nonlinear programming problem for which trust-region metho ds have been developed. In this paper we complement the convergence th eory of one of those methods showing that, under suitable hypotheses, local (superlinear or quadratic) convergence holds and every accumulat ion point is second-order stationary.