Geodesic
Stability of convergent continuous descent methods
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider continuous descent methods for the minimization of convex functions defined on a general Banach space. In our previous work we showed that most of them (in the sense of Baire category) converged. In the present paper we show that convergent continuous descent methods are stable under small perturbations.
Classification : 37L99, 47J35, 49M99, 54E35, 54E50, 54E52, 90C25
Keywords: complete uniform space, convex function, descent method, generic property, initial value problem 
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     author = {Aizicovici, Sergiu and Reich, Simeon and Zaslavski, Alexander J.},
     title = {Stability of convergent continuous descent methods},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a43/}
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Aizicovici, Sergiu; Reich, Simeon; Zaslavski, Alexander J. Stability of convergent continuous descent methods. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a43/