The UTC Graduate School is pleased to announce that Mark Horlu will present Master's research titled, On solving the vertical general linear complementarity problem associated with a vertical block P-Matrix on 07/02/2025 at 8:00 am in zoom. Everyone is invited to attend. 

Mathematics

Chair: Prof. Aniekan Ebiefung

Co-Chair: Dr. Lakmali Weerasena

Abstract:

In Ebiefung et al (2017), an algorithm was developed to solve the Vertical Generalized Linear Complementarity Problem (VGLCP) when the associated matrix is a vertical block P-matrix (VBP). The objective of this study is to implement the algorithm on a large scale using the Python programming language. We also use a Python code to generate test VBP- matrices Ebiefung et al (2022), and used them to implement the algorithm. On a representative example, every computational step including basis updates, pivot selection, and vector analysis is recorded. The Python implementation exhibits precise convergence. The final results verifying the correctness of the solution are checked against complementarity and feasibility requirements.