Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In the case of singular (and possibly even nonisolated) solutions of nonlinear equations, while superlinear convergence of the Newton method cannot be guaranteed, local linear convergence from large domains of starting points still holds under certain reasonable assumptions.We consider a linesearch globalization of the Newton method, combined with extrapolation and over-relaxation accelerating techniques, aiming at a speed up of convergence to critical solutions (a certain class of singular solutions). Numerical results indicate that an acceleration is observed indeed.
Details
Original language | English |
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Pages (from-to) | 273-286 |
Number of pages | 14 |
Journal | Computational Optimization and Applications |
Volume | 78 |
Issue number | 1 |
Publication status | Published - Jan 2021 |
Peer-reviewed | Yes |
External IDs
Scopus | 85091299963 |
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Mendeley | c3dccf97-eb20-321d-b05e-8002b1a9f748 |