Study of the numerical efficiency of structured abs-normal forms

DOI10.1080/10556788.2019.1613654zbMath1492.65055OpenAlexW2949833188WikidataQ127701208 ScholiaQ127701208MaRDI QIDQ5865325

Torsten Bosse, Sri Hari Krishna Narayanan

Publication date: 13 June 2022

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

Full work available at URL: https://doi.org/10.1080/10556788.2019.1613654

zbMATH Keywords

piecewise linear functionsalgorithmic differentiationstructural investigationABS normal form

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical differentiation (65D25)

Uses Software

• ADOL-C
• PETSc
• Algorithm 97

Cites Work

• Unnamed Item
• Solving piecewise linear systems in ABS-normal form
• On stable piecewise linearization and generalized algorithmic differentiation
• Introduction to Piecewise Differentiable Equations
• Modulus-based synchronous multisplitting iteration methods for linear complementarity problems
• Representation and Analysis of Piecewise Linear Functions in Abs-Normal Form
• Evaluating Derivatives
• Iterative Solution of Piecewise Linear Systems
• Optimization and nonsmooth analysis