# 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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