Geodesic
An iterative stochastic procedure with a general step to a linear regular inverse problem
Filomat, Tome 37 (2023) no. 6, p. 1723

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DOI

In this paper we consider a linear operator equation in a Hilbert space. Using Hoeffding inequalities, an exponential bound to the solution obtained by a stochastic procedure is established and the values of the step a k for which the procedure converges almost completely (a.co) are discussed. An illustrative application was treated to the solution of a Fredholm integral equation of the second kind.
DOI : 10.2298/FIL2306723M
Classification : 65N21, 65C50
Keywords: Robbins-Monro, Inverse problem, Fredholm integral, Almost complete convergence 
Fouad Maouche. An iterative stochastic procedure with a general step to a linear regular inverse problem. Filomat, Tome 37 (2023) no. 6, p. 1723 . doi: 10.2298/FIL2306723M
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     title = {An iterative stochastic procedure with a general step to a linear regular inverse problem},
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     year = {2023},
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