Abstract
AbstractWe 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.
Funder
Istituto Nazionale di Alta Matematica “Francesco Severi”
Publisher
Springer Science and Business Media LLC
Reference18 articles.
1. Dai, Y.H., Fletcher, R.: Projected Barzilai–Borwein methods for large-scale box-constrained quadratic programming. Numer. Math. 100, 21–47 (2005)
2. di Serafino, D., Ruggiero, V., Toraldo, G., Zanni, L.: On the steplength selection in gradient methods for unconstrained optimization. Appl. Math. Comput. 318, 176–195 (2018)
3. Dolan, E.D., Moré, J.J.: Benchmarking optimization software with performance profiles. Math. Program. 91, 201–213 (2002)
4. Springer Series in Operations Research;F Facchinei,2003
5. Fletcher, R.: On the Barzilai–Borwein method. In: Optimization and Control with Applications. Applied Optimization, vol. 96, pp. 235–256. Springer, New York (2005)
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