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- Title
Dynamical Systems Gradient Method for Solving Nonlinear Equations with Monotone Operators.
- Authors
Hoang, N.; Ramm, A.
- Abstract
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.
- Subjects
NONLINEAR theories; MONOTONE operators; NUMERICAL solutions to nonlinear operator equations; HILBERT space; ITERATIVE methods (Mathematics)
- Publication
Acta Applicandae Mathematicae, 2009, Vol 106, Issue 3, p473
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-008-9308-1