Dynamical systems method for solving nonlinear equations with monotone operators.
| dc.citation.doi | 10.1090/S0025-5718-09-02260-1 | en_US |
| dc.citation.epage | 258 | en_US |
| dc.citation.issue | 269 | en_US |
| dc.citation.jtitle | Mathematics of Computation | en_US |
| dc.citation.spage | 239 | en_US |
| dc.citation.volume | 79 | en_US |
| dc.contributor.author | Hoang, N. S. | |
| dc.contributor.author | Ramm, Alexander G. | |
| dc.contributor.authoreid | ramm | en_US |
| dc.date.accessioned | 2011-06-03T16:16:50Z | |
| dc.date.available | 2011-06-03T16:16:50Z | |
| dc.date.issued | 2009-04-02 | |
| dc.date.published | 2010 | en_US |
| dc.description.abstract | A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopping rule, based on a discrepancy-type principle is proposed and justified mathematically. The results of two numerical experiments are presented. They show that the proposed version of DSM is numerically efficient. The numerical experiments consist of solving nonlinear integral equations. | en_US |
| dc.identifier.uri | http://hdl.handle.net/2097/9217 | |
| dc.relation.uri | http://doi.org/10.1090/S0025-5718-09-02260-1 | en_US |
| dc.rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | en_US |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Dynamical systems method (DSM) | en_US |
| dc.subject | Nonlinear operator equations | en_US |
| dc.subject | Monotone operators | en_US |
| dc.subject | Discrepancy principle | en_US |
| dc.title | Dynamical systems method for solving nonlinear equations with monotone operators. | en_US |
| dc.type | Article (author version) | en_US |
