An efficient augmented memoryless quasi-Newton method for solving large-scale unconstrained optimization problems

Autor: Yulin Cheng, Jing Gao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 25232-25252 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241231?viewType=HTML
Popis: In this paper, an augmented memoryless BFGS quasi-Newton method was proposed for solving unconstrained optimization problems. Based on a new modified secant equation, an augmented memoryless BFGS update formula and an efficient optimization algorithm were established. To improve the stability of the numerical experiment, we obtained the scaling parameter by minimizing the upper bound of the condition number. The global convergence of the algorithm was proved, and numerical experiments showed that the algorithm was efficient.
Databáze: Directory of Open Access Journals