A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
By Donghui Li, Masao Fukushima. 2000
190 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b7876dbea2f99e4081d22b6fd893897fb1fe810a
How researchers see this paper
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In Modeling and Simulation
- Xiaoling Wang
- Weijun Zhou
- Natasa Krejic
- Natasa Krklec Jerinkic
- Stefania Bellavia
- Donghui Li
- W. J. Zhou
- Liyanage D.H
In Numerical Analysis
- Xiaoling Wang
- Donghui Li
- Weijun Zhou
- Stefania Bellavia
- Natasa Krejic
- Natasa Krklec Jerinkic
- W. J. Zhou
- Liyanage D.H
Citations in the corpus
- A modified Fletcher-Reeves-Type derivative-free method for symmetric nonlinearequations (2011, methodology): “On the other hand, the derivative-free methods including quasi-Newton methods [10, 18, 19, 24, 26, 27], the so called spectral method [4, 14, 15] and some recently developed derivative-free methods for monotone nonlinear equations [20, 23], can be used to solve nonlinear equations where the derivati”
- LIMITED MEMORY BFGS METHOD FOR NONLINEAR MONOTONE EQUATIONS (2007, methodology): “By using a nonmonotone line search process, Li and Fukushima [13, 14] proposed a Broyden’s method for solving nonlinear equations and a Gauss-Newton-based BFGS method for solving symmetric nonlinear equations.”
- Subsampled inexact Newton methods for minimizing large sums of convex functions (2018, methodology): “For that reason we consider the convergence properties of a nonmonotone line search procedure introduced in [24] and prove that R-linear convergence is maintained if the non-monotone error terms also decay with R rate.”