📐 Computational Mathematics Seminar: Solving Nonlinear Absolute Value Equations

👨‍🏫 Speaker: Professor Mounir Haddou

Affiliation:
Department of Applied Mathematics (Département de Mathématiques Appliquées),
National Institute of Applied Sciences of Rennes (INSA Rennes).

Member of the Rennes Institute of Mathematical Research (IRMAR – UMR CNRS 6625).
Former Director of the Department of Applied Mathematics at INSA Rennes.

🗓️ Time and Venue

⏰ Time: 10:00 AM, Wednesday, December 17, 2025

📍 Venue: Room F207, University of Science, 227 Nguyen Van Cu Street, Cho Quan Ward, Ho Chi Minh City, Vietnam.

🌐 Abstract

            We show that several problems naturally represented as Nonlinear Absolute Value Equations (NAVE) can be reformulated as Nonlinear Complementarity Problems (NCP) and then efficiently solved using smoothing techniques under mild assumptions. As far as we know, there is no other numerical approach that directly deals with Nonlinear Absolute Value Equations. We identify a technical assumption commonly utilized in smoothing techniques and prove its equivalence to a classical Lojasiewicz inequality at infinity. This confirms, in particular, that this assumption is not restrictive at all. We also give several sufficient assumptions to prove the uniqueness of the solution and establish some error estimates. To illustrate the effectiveness of our approach, we apply it to several problems, including asymmetric ridge optimization and nonlinear ordinary differential equations. 

Keywords: Nonlinear Absolute Value Equality, Complementarity problem, P0-map, Numerical methods.

All faculty members, graduate students, and interested students are cordially invited to attend.

👥 Organizing Committee:

     ✨ Dr. Võ Đức Cẩm Hải (Head of the Department of Mathematics and Computer Science)

     ✨ Dr. Ông Thanh Hải

📝 Secretaries: 
Nguyễn Thị Thùy Oanh, Lê Thiện Đạt & Trần Tuấn Thái

📷 Highlights from the seminar