English version

Théorie

• On the B-differential of the componentwise minimum of two affine vector functions, avec Jean-Pierre Dussault, Baptiste Plaquevent-Jourdain. Mathematical Programming Computation (à paraître).
  On the B-differential of the componentwise minimum of two affine vector functions - The full report, avec Jean-Pierre Dussault, Baptiste Plaquevent-Jourdain. Rapport déposé sur HAL le 25 novembre 2022, v2 le 27 mars 2023.
• Exact computation of an error bound for the balanced linear complementarity problem with unique solution [doi] [view-only], avec Jean-Pierre Dussault. Mathematical Programming, 199:1-2 (2023) 1221-1238.
  Exact computation of an error bound for the balanced linear complementarity problem with unique solution - The full report, avec Jean-Pierre Dussault.

• Polyhedral Newton-min algorithms for complementarity problems, avec Jean-Pierre Dussault, Mathieu Frappier. Mathematical Programming (en révision).
  Polyhedral Newton-min algorithms for complementarity problems - The full report, avec Jean-Pierre Dussault, Mathieu Frappier. Rapport déposé sur HAL le 15 mai 2023.
• A lower bound on the iterative complexity of the Harker and Pang globalization technique of the Newton-min algorithm for solving the linear complementarity problem [doi], avec Jean-Pierre Dussault, Mathieu Frappier. EURO Journal on Computational Optimization, 7:4 (2019) 359-380.
• An algorithmic characterization of P-matricity II: adjustments, refinements, and validation [doi], avec Ibtihel Ben Gharbia. SIAM Journal on Matrix Analysis and Applications, 40:2 (2019) 800-813.
• An algorithmic characterization of P-matricity, avec Ibtihel Ben Gharbia. SIAM Journal on Matrix Analysis and Applications, 34 (2013) 904-916.
• Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix, avec Ibtihel Ben Gharbia. Mathematical Programming, 134 (2012) 349-364.
  Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix - The full report, avec Ibtihel Ben Gharbia.

• Nonlinear complementarity constraints for two-phase flow in porous media with gas phase appearance and disappearance, avec Ibtihel Ben Gharbia et J. Jaffré. 5th conference on Trends in Applied Mathematics in Tunisia, Algeria, Morocco (TAMTAM), Sousse, April, 23-26, 2011, Tunisia, Proceeding ARIMA Journal.

• Hnm4lcp - A solver of linear complementarity problems using the hybrid Newton-min algorithm, avec Jean-Pierre Dussault. Code déposé sur HAL+SWH le 25 novembre 2024.
• ISF and BDIFFMIN - Matlab functions for the hyperplane arrangement and the computation of the B-differential of the componentwise minimum of two affine vector functions, avec Jean-Pierre Dussault, Baptiste Plaquevent-Jourdain. Rapport déposé sur HAL+SWH le 23 mai 2023.