Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 431
A theorem on the uniqueness of the solution of a linear complementarity problem
Yamna Achik, Asmaa Idmbarek, Hajar Nafia, Imane Agmour, Youssef El foutayeni
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2363
April 15, 2363

Abstract: In the fields of operations research and optimization, linear complementarity problems are widely recognized, but these problems are often difficult to solve, it is impossible to ensure the existence and the uniqueness of a solution of linear complementarity problem associated with any matrix M and vector q. It is well known that the regularity of the matrix M alone does not guarantee the existence and uniqueness of the solution. In this paper, we consider two matrices M, D∈ℝⁿ, such that D is a positive matrix and we formulate a theorem, which proves the existence and uniqueness of the ...