Abstract
The global convergence theory of quasi-Newton methods for optimization problems has well been established. Related work to the globalization of quasi-Newton methods for nonlinear equations is relatively less. The major difficulty in globalizing quasi-Newton methods for nonlinear equations lies in the lack of efficient line search technique. Recently, there have been proposed some derivative-free line searches. The study in the global convergence of some quasi-Newton methods has taken good progress. In this paper, we summarize some recent progress in the global convergence of quasi- Newton methods for solving nonlinear equations.
Citation
Dong-Hui LI. Wanyou CHENG. "Recent progress in the global convergence of quasi-Newton methods for nonlinear equations." Hokkaido Math. J. 36 (4) 729 - 743, November 2007. https://doi.org/10.14492/hokmj/1272848030
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