Publication
Multiple Roots of Systems of Equations by Repulsion Merit Functions
| dc.contributor.author | Ramadas, Gisela C. V. | |
| dc.contributor.author | Fernandes, Edite M. G. P. | |
| dc.contributor.author | Rocha, Ana Maria A. C. | |
| dc.date.accessioned | 2015-01-15T10:41:17Z | |
| dc.date.available | 2015-01-15T10:41:17Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this paper we address the problem of computing multiple roots of a system of nonlinear equations through the global optimization of an appropriate merit function. The search procedure for a global minimizer of the merit function is carried out by a metaheuristic, known as harmony search, which does not require any derivative information. The multiple roots of the system are sequentially determined along several iterations of a single run, where the merit function is accordingly modified by penalty terms that aim to create repulsion areas around previously computed minimizers. A repulsion algorithm based on a multiplicative kind penalty function is proposed. Preliminary numerical experiments with a benchmark set of problems show the effectiveness of the proposed method. | por |
| dc.identifier.doi | 10.1007/978-3-319-09129-7_10 | |
| dc.identifier.isbn | 978-3-319-09128-0 | |
| dc.identifier.isbn | 978-3-319-09129-7 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/5409 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer | por |
| dc.relation.ispartofseries | Lecture Notes in Computer Science;Vol. 8580 | |
| dc.relation.publisherversion | http://link.springer.com/chapter/10.1007/978-3-319-09129-7_10 | por |
| dc.subject | System of equations | por |
| dc.subject | Multiple roots | por |
| dc.subject | Penalty function | por |
| dc.subject | Repulsion | por |
| dc.subject | Harmony search | por |
| dc.title | Multiple Roots of Systems of Equations by Repulsion Merit Functions | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 139 | por |
| oaire.citation.startPage | 126 | por |
| oaire.citation.title | Computational Science and Its Applications – ICCSA 2014 | por |
| person.familyName | Gonçalves Vieira Ramadas | |
| person.givenName | Gisela Cristina | |
| person.identifier.ciencia-id | 1718-5E35-4A69 | |
| person.identifier.orcid | 0000-0003-3883-2964 | |
| person.identifier.scopus-author-id | 54403520900 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | 5b7d05da-a26f-4253-b821-a051a98d6aa8 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5b7d05da-a26f-4253-b821-a051a98d6aa8 |