Adaptive smoothing method, deterministically computable generalized Jacobians, and the Newton method

DOI10.1023/A:1017526207997zbMath1001.90068OpenAlexW140186998MaRDI QIDQ5942353

Huifu Xu

Publication date: 28 August 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017526207997

zbMATH Keywords

generalized Newton methodsadaptive smoothing methodsClarke generalized Jacobiansplenary hulls

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Methods of quasi-Newton type (90C53)

Related Items (4)

On smoothing, regularization, and averaging in stochastic approximation methods for stochastic variational inequality problems ⋮ Implicit smoothing and its application to optimization with piecewise smooth equality constraints ⋮ Point-Based Set-Valued Approximations, C -Differential Operators and Applications ⋮ Modified Jacobian smoothing method for nonsmooth complementarity problems

Cites Work

• Unnamed Item
• Nondifferential optimization via adaptive smoothing
• Approximate Newton methods for nonsmooth equations
• Set-valued approximations and Newton's methods
• A nonsmooth version of Newton's method
• Optimization and nonsmooth analysis
• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities

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