A Diagonal BFGS Update Algorithm with Inertia Acceleration Technology for Minimizations
Optimization and Control
2025-07-08 v2
Abstract
We integrate the diagonal quasi-Newton update approach with the enhanced BFGS formula proposed by Wei, Z., Yu, G., Yuan, G., Lian, Z. \cite{b1}, incorporating extrapolation techniques and inertia acceleration technology. This method, designed specifically for non-convex constrained problems, requires that the search direction ensures sufficient descent and establishes global linear convergence. Such a design has yielded exceptionally favorable data results.
Cite
@article{arxiv.2409.05002,
title = {A Diagonal BFGS Update Algorithm with Inertia Acceleration Technology for Minimizations},
author = {Zhenhua Luo and Gonglin Yuan and Hongtruong Pham},
journal= {arXiv preprint arXiv:2409.05002},
year = {2025}
}
Comments
Manuscript withdrawn to incorporate substantial revisions and new results