Dynamical Systems Gradient method for solving nonlinear equations with monotone operators

Details Dynamical Systems Gradient method for solving nonlinear equations with monotone operators Dynamical Systems Gradient method for solving nonlinear equations with monotone operators

2009-03-03

arxiv.org/abs/0903.0550v1

Mathematics

Numerical Analysis

2 figures

Scientific paper

10.1007/s10440-008-9308-1

A version of the Dynamical Systems Gradient Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numerical experiment was carried out with the new stopping rule. Numerical experiments show that the proposed stopping rule is efficient. Equations with monotone operators are of interest in many applications.

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