A novel approach to establishing uniqueness of solutions in linear complementarity problems

Autor: Yamna Achik, Imane Agmour, Youssef El Foutayeni
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics Open, Vol 03, Iss (2024)
Druh dokumentu: article
ISSN: 28110072
2811-0072
DOI: 10.1142/S2811007223500128
Popis: Linear complementarity problems are fundamental in various mathematical fields, and it is widely recognized that these problems have a unique solution if and only if the matrix related to them is a P-matrix. However, determining whether a matrix is a P-matrix can be extremely challenging or even impossible, especially for large matrices. In this paper, we present a method for establishing the existence and uniqueness of the solution to linear complementarity problems without the need for P-matrix verification.
Databáze: Directory of Open Access Journals
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