A globally convergent derivative-free method for solving large-scale nonlinear monotone equations
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Publication:966075
DOI10.1016/j.cam.2010.01.001zbMath1189.65102OpenAlexW2074052197MaRDI QIDQ966075
Xiao-Zhen Peng, Qin-Rong Yan, Dong-hui Li
Publication date: 27 April 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.01.001
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Cites Work
- Unnamed Item
- Superlinear convergence of a Newton-type algorithm for monotone equations
- A projection method for a system of nonlinear monotone equations with convex constraints
- Spectral gradient projection method for solving nonlinear monotone equations
- Monotonicity of Fixed Point and Normal Mappings Associated with Variational Inequality and Its Application
- A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
- Two-Point Step Size Gradient Methods
- Newton-type Methods with Generalized Distances For Constrained Optimization
- A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
- A Two-Term PRP-Based Descent Method
- Spectral residual method without gradient information for solving large-scale nonlinear systems of equations
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