New versions of Newton method: step-size choice, convergence domain and under-determined equations
| Autor: | Boris T. Polyak, Andrey Tremba |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
021103 operations research
Control and Optimization Applied Mathematics 0211 other engineering and technologies 010103 numerical & computational mathematics 02 engineering and technology SMA 01 natural sciences Domain (mathematical analysis) symbols.namesake Nonlinear system Convergence (routing) symbols Applied mathematics 0101 mathematics Newton's method Software Mathematics |
| Zdroj: | Optimization Methods and Software. 35:1272-1303 |
| ISSN: | 1029-4937 1055-6788 |
| DOI: | 10.1080/10556788.2019.1669154 |
| Popis: | Newton method is one of the most powerful methods for finding solutions of nonlinear equations and for proving their existence. In its ‘pure’ form it has fast convergence near the solution, but sma... |
| Databáze: | OpenAIRE |
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