Version française

Theory

• On the B-differential of the componentwise minimum of two affine vector functions, with J.-P. Dussault, B. Plaquevent-Jourdain. Mathematical Programming Computation (to appear)
  On the B-differential of the componentwise minimum of two affine vector functions - The full report, with J.-P. Dussault, B. 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 J.-P. 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 J.-P. Dussault.

• Polyhedral Newton-min algorithms for complementarity problems, with J.-P. Dussault, M. Frappier. Mathematical Programming (in revision).
  Polyhedral Newton-min algorithms for complementarity problems - The full report, with J.-P. Dussault, M. 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 J.-P. Dussault, M. Frappier. EURO Journal on Computational Optimization, 7:4 (2019) 359-380.
• An algorithmic characterization of P-matricity II: adjustments, refinements, and validation [doi], with I. Ben Gharbia. SIAM Journal on Matrix Analysis and Applications, 40:2 (2019) 800-813.
• An algorithmic characterization of P-matricity, with I. 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 I. 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 I. Ben Gharbia.

• Nonlinear complementarity constraints for two-phase flow in porous media with gas phase appearance and disappearance, with I. 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.

• 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 J.-P. Dussault, B. Plaquevent-Jourdain. HAL report uploaded on the 23th of May 2023.