The instability of some gradient methods for ill-posed problems.
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R. Plato, B. Eicke, A.K. Louis (1990/1991)
Numerische Mathematik
Alexandre, P. (1999)
Serdica Mathematical Journal
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.
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