The paper presents a derivative-free method for solving systems of nonlinear equations that belongs to the class of spectral residual methods. It will be shown 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.

On the global convergence of a new spectral residual algorithm for nonlinear systems of equations / Alessandra Papini, Margherita Porcelli, Cristina Sgattoni. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - STAMPA. - 14:(2021), pp. 367-378. [10.1007/s40574-020-00270-5]

On the global convergence of a new spectral residual algorithm for nonlinear systems of equations

Alessandra Papini;Margherita Porcelli
;
Cristina Sgattoni
2021

Abstract

The paper presents a derivative-free method for solving systems of nonlinear equations that belongs to the class of spectral residual methods. It will be shown 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.
2021
14
367
378
Alessandra Papini, Margherita Porcelli, Cristina Sgattoni
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1218828
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