 |
 |
|
|
| HAL: hal-00277251, version 1 |
| DOI: 10.1080/01630560500248306 |
| Detailed view |  Export this paper |
 |
| Numerical Functional Analysis and Optimization 26, 4 & 5 (2005) 507-521 |
|
|
|
|
| A Priori Estimations of a Global Homotopy Residue Continuation Method |
|
|
| Isabelle Gruais 1Nathalie M.M. N.M.M. Cousin-Rittemard 1 |
|
|
| (2005-06-01) |
|
|
|
| This work is concerned with the a priori estimations of a global homotopy residue continuation method starting from a disjoint initial guess. Explicit conditions ensuring the quadratic convergence of the underlying Newton-Raphson algorithm are proved. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
|
|
|
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
|
|
| 2: | Department of Atmospheric Science |
|
|
|
Colorado State University |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Functional Analysis |
|
|
| Continuation methods – Error estimate – Global homotopy – Residue |
|
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00277251, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00277251 | |
| oai:hal.archives-ouvertes.fr:hal-00277251 | |
| From: Nathalie Rittemard | |
| Submitted on: Tuesday, 20 May 2008 07:00:06 | |
| Updated on: Wednesday, 3 March 2010 09:42:21 | |
