Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김선영 | * |
dc.date.accessioned | 2018-05-02T08:15:15Z | - |
dc.date.available | 2018-05-02T08:15:15Z | - |
dc.date.issued | 2004 | * |
dc.identifier.issn | 0010-485X | * |
dc.identifier.other | OAK-2478 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/242629 | - |
dc.description.abstract | The reliability of polyhedral homotopy continuation methods for solving a polynomial system becomes increasingly important as the dimension of the polynomial system increases. High powers of the homotopy continuation parameter t and ill-conditioned Jacobian matrices encountered in tracing of homotopy paths affect the numerical stability. We present modified homotopy functions with a new homotopy continuation parameter s and various scaling strategies to enhance the numerical stability. Advantages of employing the new homotopy parameter 5 are discussed. Numerical results are included to illustrate the improved performance of the presented techniques. | * |
dc.language | English | * |
dc.title | Numerical stability of path tracing in polyhedral homotopy continuation methods | * |
dc.type | Article | * |
dc.relation.issue | 4 | * |
dc.relation.volume | 73 | * |
dc.relation.index | SCI | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 329 | * |
dc.relation.lastpage | 348 | * |
dc.relation.journaltitle | Computing (Vienna/New York) | * |
dc.identifier.doi | 10.1007/s00607-004-0070-6 | * |
dc.identifier.wosid | WOS:000225386400002 | * |
dc.identifier.scopusid | 2-s2.0-10644221358 | * |
dc.author.google | Kim S. | * |
dc.author.google | Kojima M. | * |
dc.contributor.scopusid | 김선영(57221275622) | * |
dc.date.modifydate | 20231116113048 | * |