The Perturbed Generalized Tikhonov's Algorithm
Serdica Mathematical Journal (1999)
- Volume: 25, Issue: 2, page 91-102
- ISSN: 1310-6600
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topAlexandre, P.. "The Perturbed Generalized Tikhonov's Algorithm." Serdica Mathematical Journal 25.2 (1999): 91-102. <http://eudml.org/doc/11507>.
@article{Alexandre1999,
abstract = {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.},
author = {Alexandre, P.},
journal = {Serdica Mathematical Journal},
keywords = {Tikhonov’s Regularization; Perturbation; Variable Metric; Relaxation; Variational Convergence; Tikhonov's regularization; variable metric; relaxation; convergence; maximal monotone operator; Hilbert space},
language = {eng},
number = {2},
pages = {91-102},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Perturbed Generalized Tikhonov's Algorithm},
url = {http://eudml.org/doc/11507},
volume = {25},
year = {1999},
}
TY - JOUR
AU - Alexandre, P.
TI - The Perturbed Generalized Tikhonov's Algorithm
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 2
SP - 91
EP - 102
AB - 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.
LA - eng
KW - Tikhonov’s Regularization; Perturbation; Variable Metric; Relaxation; Variational Convergence; Tikhonov's regularization; variable metric; relaxation; convergence; maximal monotone operator; Hilbert space
UR - http://eudml.org/doc/11507
ER -
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