| dc.creator | Lopes, VLR | |
| dc.creator | Martinez, JM | |
| dc.date | 1995 | |
| dc.date | 2014-12-16T11:32:39Z | |
| dc.date | 2015-11-26T17:51:15Z | |
| dc.date | 2014-12-16T11:32:39Z | |
| dc.date | 2015-11-26T17:51:15Z | |
| dc.date.accessioned | 2018-03-29T00:34:37Z | |
| dc.date.available | 2018-03-29T00:34:37Z | |
| dc.identifier | Optimization Methods & Software. Gordon Breach Sci Publ Ltd, v. 6, n. 2, n. 127, n. 144, 1995. | |
| dc.identifier | 1055-6788 | |
| dc.identifier | WOS:A1995TU48300003 | |
| dc.identifier | 10.1080/10556789508805629 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/57147 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/57147 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/57147 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1289929 | |
| dc.description | The inverse Column-Updating method is a secant algorithm for solving nonlinear systems of equations introduced recently by Martinet and Zambaldi (Optimization Methods and Software, 1 (1992), pp. 129-140). This method is one of the less expensive reliable quasi-Newton methods for solving nonlinear simultaneous equations, in terms of linear algebra work. Since it does not belong to the well-known LCSU (least-change secant-update) class, special arguments are used for proving local convergence. In this paper we prove that, if convergence is assumed, then R-superlinear convergence takes place. Moreover, we prove local convergence for a version of the method with (not necessarily Jacobian) restarts. Finally, we prove that local and R-superlinear convergence holds without restarts in the two-dimensional case. From a practical point of view, we show that, in some cases, the numerical performance of the inverse Column-Updating method is very good. | |
| dc.description | 6 | |
| dc.description | 2 | |
| dc.description | 127 | |
| dc.description | 144 | |
| dc.language | en | |
| dc.publisher | Gordon Breach Sci Publ Ltd | |
| dc.publisher | Reading | |
| dc.publisher | Inglaterra | |
| dc.relation | Optimization Methods & Software | |
| dc.relation | Optim. Method Softw. | |
| dc.rights | fechado | |
| dc.source | Web of Science | |
| dc.subject | nonlinear systems | |
| dc.subject | quasi-Newton methods | |
| dc.subject | inverse Column-Updating method | |
| dc.subject | Quasi-newton Methods | |
| dc.title | Convergence properties of the inverse column-updating method | |
| dc.type | Artículos de revistas | |
