The Perturbed Generalized Tikhonov's Algorithm
Serdica Mathematical Journal, Tome 25 (1999) no. 2, pp. 91-102
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
We work on the research of a zero of a maximal monotone
operator on a real Hilbert space. Following the recent progress made in
the context of the proximal point algorithm devoted to this problem, we
introduce simultaneously a variable metric and a kind of relaxation in the
perturbed Tikhonov’s algorithm studied by P. Tossings. So, we are led to
work in the context of the variational convergence theory.
Keywords:
Tikhonov’s Regularization, Perturbation, Variable Metric, Relaxation, Variational Convergence
@article{SMJ2_1999_25_2_a0,
author = {Alexandre, P.},
title = {The {Perturbed} {Generalized} {Tikhonov's} {Algorithm}},
journal = {Serdica Mathematical Journal},
pages = {91--102},
year = {1999},
volume = {25},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1999_25_2_a0/}
}
Alexandre, P. The Perturbed Generalized Tikhonov's Algorithm. Serdica Mathematical Journal, Tome 25 (1999) no. 2, pp. 91-102. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_2_a0/