Publicação
Complexity of the Newton method for set-valued maps
| Resumo: | The Newton method is one of the most powerful tools used to solve systems of nonlinear equations. Its set-valued generalization allows one to solve also nonlinear equations with geometric constraints and systems of nonlinear equations and inequalities in a unified manner. In this work some complexity issues concerning the method are studied. The results are illustrated by examples. |
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| Autores principais: | Smirnov, Georgi |
| Assunto: | Newton’s method Set-valued maps Complexity analysis |
| Ano: | 2014 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | The Newton method is one of the most powerful tools used to solve systems of nonlinear equations. Its set-valued generalization allows one to solve also nonlinear equations with geometric constraints and systems of nonlinear equations and inequalities in a unified manner. In this work some complexity issues concerning the method are studied. The results are illustrated by examples. |
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