Geodesic
Gradient-projection method for finding quasisolutions of nonlinear
Numerical methods and programming, Tome 4 (2003) no. 1, pp. 117-125 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose and study an iterative method for finding quasisolutions of nonlinear ill-posed operator equations on closed convex subsets of a Hilbert space in the presence of errors. The process under consideration combines the gradient-projection method and the projections of iterations obtained onto suitably constructed finite-dimensional subspaces. We establish that the iterations generated by our method are stabilized in a small neighborhood of the quasisolution as the iteration number increases.
Keywords: nonlinear operator, differentiable operator, gradient method, projecting, stability.
Mots-clés : convergence 
@article{VMP_2003_4_1_a10,
     author = {A. I. Kozlov},
     title = {Gradient-projection method for finding quasisolutions of nonlinear},
     journal = {Numerical methods and programming},
     pages = {117--125},
     year = {2003},
     volume = {4},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a10/}
}
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A. I. Kozlov. Gradient-projection method for finding quasisolutions of nonlinear. Numerical methods and programming, Tome 4 (2003) no. 1, pp. 117-125. http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a10/