Approximating Clarke's subgradients of semismooth functions by divided differences

DOI10.1007/s11075-007-9069-3zbMath1133.65043OpenAlexW1982706353MaRDI QIDQ877273

Rahmo El-Desouky, Marcin Studniarski

Publication date: 19 April 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9069-3

zbMATH Keywords

algorithmconvergencenumerical examplesnondifferentiable functionsClarke's subgradientssemismooth functions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Cites Work

• Unnamed Item
• Unnamed Item
• A mesh-independence result for semismooth Newton methods.
• An algorithm for calculating one subgradient of a convex function of two variables
• A nonsmooth version of Newton's method
• An approximate Newton method for non-smooth equations with finite max functions
• Constrained optimal control of Navier--Stokes flow by semismooth Newton methods
• Optimization and nonsmooth analysis
• Second-Order Necessary Conditions in Constrained Semismooth Optimization
• Semismooth and Semiconvex Functions in Constrained Optimization
• An Algorithm for Constrained Optimization with Semismooth Functions
• A method for minimizing convex functions based on continuous approximations to the subdifferential
• Semismooth Newton Methods for Operator Equations in Function Spaces
• Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
• Convex Analysis

This page was built for publication: Approximating Clarke's subgradients of semismooth functions by divided differences