A globally and superlinearly convergent quasi-Newton method for general box constrained variational inequalities without smoothing approximation
From MaRDI portal
Publication:645556
DOI10.1007/s10898-010-9629-2zbMath1254.90261OpenAlexW2078299584MaRDI QIDQ645556
Meiyan Li, Chang-Feng Ma, Xue Bin Wang
Publication date: 8 November 2011
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-010-9629-2
Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (4)
A nonmonotone smoothing Newton algorithm for solving general box constrained variational inequalities ⋮ A stochastic extra-step quasi-Newton method for nonsmooth nonconvex optimization ⋮ Unnamed Item ⋮ A hybrid semismooth quasi-Newton method for nonsmooth optimal control with PDEs
Uses Software
Cites Work
- Unnamed Item
- A new smoothing and regularization Newton method for \(P_{0}\)-NCP
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- On convergence of a smoothing Broyden-like method for \(P_0\)-NCP
- Local convergence of quasi-Newton methods for B-differentiable equations
- Secant methods for semismooth equations
- Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities
- A parameterized Newton method and a quasi-Newton method for nonsmooth equations
- A class of iterative methods for solving nonlinear projection equations
- Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations
- A hybrid smoothing method for mixed nonlinear complementarity problems
- A Newton method for a class of quasi-variational inequalities
- A nonsmooth version of Newton's method
- Optimization and nonsmooth analysis
- On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
- Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems
- Engineering and Economic Applications of Complementarity Problems
- Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
- A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
- A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- On a Generalization of a Normal Map and Equation
- A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Class of Active-Set Newton Methods for Mixed ComplementarityProblems
- On the basic theorem of complementarity
- Globally convergent Broyden-like methods for semismooth equations and applications to VIP, NCP and MCP
This page was built for publication: A globally and superlinearly convergent quasi-Newton method for general box constrained variational inequalities without smoothing approximation
