Dynamical Systems Gradient Method for Solving Nonlinear Equations with Monotone Operators

• Autores: N. S. Hoang, Alexander G. Ramm
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 106, Nº. 3, 2009, págs. 473-499
• Idioma: inglés
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• Resumen

  • 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.