A modified Broyden-like quasi-Newton method for nonlinear equations

DOI10.1016/j.cam.2020.112744zbMath1439.90076OpenAlexW3001880540WikidataQ126305543 ScholiaQ126305543MaRDI QIDQ2297202

Li Zhang, Weijun Zhou

Publication date: 18 February 2020

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.2020.112744

zbMATH Keywords

convergencenonlinear equationsline searchBroyden-like method

Mathematics Subject Classification ID

Nonlinear programming (90C30) Methods of quasi-Newton type (90C53)

Related Items (7)

Global convergence of a nonmonotone Broyden family method for nonconvex unconstrained minimization ⋮ A derivative-free line search technique for Broyden-like method with applications to NCP, wLCP and SI ⋮ Solving nonlinear equations with a direct Broyden method and its acceleration ⋮ Multiscale orthonormal method for nonlinear system of BVPs ⋮ Global convergence of a modified two-parameter scaled BFGS method with Yuan-Wei-Lu line search for unconstrained optimization ⋮ Unnamed Item ⋮ A globally convergent BFGS method for symmetric nonlinear equations

Uses Software

• minpack

Cites Work

• A BFGS trust-region method for nonlinear equations
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• Convergence properties of an iterative method for solving symmetric non-linear equations
• A modified two steps Levenberg-Marquardt method for nonlinear equations
• The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence
• An Iterative Method for Finding Stationary Values of a Function of Several Variables
• The convergence of variable metric matrices in unconstrained optimization
• The “global” convergence of Broyden-like methods with suitable line search
• Testing Unconstrained Optimization Software
• On the Global Convergence of Broyden's Method
• A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
• Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems
• A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
• Spectral residual method without gradient information for solving large-scale nonlinear systems of equations
• Unnamed Item
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• Unnamed Item

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