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

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...

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Bibliographic Details
Published in:AIMS Mathematics
Main Authors: Yulin Cheng, Jing Gao
Format: Article
Language:English
Published: AIMS Press 2024-08-01
Subjects:
unconstrained optimization
quasi-newton method
bfgs update
secant equation
global convergence
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241231?viewType=HTML
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Summary: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.
ISSN:2473-6988

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