Enumeration of subdifferentials of piecewise linear functions with abs-normal form

DOI10.1080/10556788.2018.1458848zbMath1403.65012OpenAlexW2802279325MaRDI QIDQ4685602

No author found.

Publication date: 9 October 2018

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2018.1458848

zbMATH Keywords

piecewise smooth functionalgorithmic differentiationB-subdifferentialabsolute normal form

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical differentiation (65D25) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Numerical methods for mathematical programming, optimization and variational techniques (65K99)

Related Items (1)

On the abs-polynomial expansion of piecewise smooth functions

Uses Software

• GLPK

Cites Work

• Unnamed Item
• On Nesterov's nonsmooth Chebyshev-Rosenbrock functions
• Systems analysis by graphs and matroids. Structural solvability and controllability
• Solving piecewise linear systems in ABS-normal form
• First- and second-order optimality conditions for piecewise smooth objective functions
• On stable piecewise linearization and generalized algorithmic differentiation
• Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function
• Evaluating Derivatives
• Simultaneous computation of functions, partial derivatives and estimates of rounding errors —Complexity and practicality—

This page was built for publication: Enumeration of subdifferentials of piecewise linear functions with abs-normal form