On the global convergence of a new spectral residual algorithm for nonlinear systems of equations
We present a derivative-free method for solving systems of nonlinear equations that belongs to the class of spectral residual methods. We will show that by endowing a previous version of the algorithm with a suitable new linesearch strategy, standard global convergence results can be attained under...
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| Veröffentlicht in: | Bollettino della Unione matematica italiana (2008) 2021-06, Vol.14 (2), p.367-378 |
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| container_title | Bollettino della Unione matematica italiana (2008) |
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| creator | Papini, Alessandra Porcelli, Margherita Sgattoni, Cristina |
| description | We present a derivative-free method for solving systems of nonlinear equations that belongs to the class of spectral residual methods. We will show that by endowing a previous version of the algorithm with a suitable new linesearch strategy, standard global convergence results can be attained under mild general assumptions. The robustness of the new method is therefore potentially improved with respect to the previous version as shown by the reported numerical experiments. |
| doi_str_mv | 10.1007/s40574-020-00270-5 |
| format | Article |
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| issn | 1972-6724 2198-2759 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Algorithms Convergence Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Nonlinear systems Robustness (mathematics) |
| title | On the global convergence of a new spectral residual algorithm for nonlinear systems of equations |
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