Version française

Theory

• On the B-differential of the componentwise minimum of two affine vector functions, with Jean-Pierre Dussault, Baptiste Plaquevent-Jourdain. Mathematical Programming Computation (to appear)
  On the B-differential of the componentwise minimum of two affine vector functions - The full report, with Jean-Pierre Dussault, Baptiste Plaquevent-Jourdain. HAL report uploaded on the 25th of November 2022, v2 on the 27th of March 2023.
• Exact computation of an error bound for the balanced linear complementarity problem with unique solution [doi] [view-only], with 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, with Jean-Pierre Dussault.

• Polyhedral Newton-min algorithms for complementarity problems, with Jean-Pierre Dussault, Mathieu Frappier. Mathematical Programming (in revision).
  Polyhedral Newton-min algorithms for complementarity problems - The full report, with Jean-Pierre Dussault, Mathieu Frappier. HAL report uploaded on the 15th of May 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], with 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], with Ibtihel Ben Gharbia. SIAM Journal on Matrix Analysis and Applications, 40:2 (2019) 800-813.
• An algorithmic characterization of P-matricity, with 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, with 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, with Ibtihel Ben Gharbia.

• Nonlinear complementarity constraints for two-phase flow in porous media with gas phase appearance and disappearance, with 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, with Jean-Pierre Dussault. Code dropped on HAL+SWH on the 25th of November 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, with Jean-Pierre Dussault, Baptiste Plaquevent-Jourdain. Code dropped on HAL+SWH on the 23th of May 2023.