L Zhang - Optimization Methods and Software, 2005 - Taylor & Francis
In this paper, by using a so-called fixed steplength strategy, we propose a BFGS method without use of line searches for unconstrained optimization. Under mild conditions, we show …
In this paper, we consider an unconstrained optimization problem and propose a new family of modified BFGS methods to solve it. As it is known, classic BFGS method is not always …
DH Li, M Fukushima - Journal of Computational and Applied Mathematics, 2001 - Elsevier
In this paper, we propose a modification of the BFGS method for unconstrained optimization. A remarkable feature of the proposed method is that it possesses a global convergence …
J Han, G Liu - Computational Optimization and Applications, 1997 - Springer
In this paper, a new nonmonotone BFGS algorithmfor unconstrained optimization is introduced. Under mild conditions, the global convergence of this new algorithm on convex …
W Zhou, L Zhang - Journal of computational and applied mathematics, 2009 - Elsevier
In this paper, we propose a new nonmonotone Armijo type line search and prove that the MBFGS method proposed by Li and Fukushima with this new line search converges globally …
DH Li, M Fukushima - SIAM Journal on Optimization, 2001 - SIAM
This paper is concerned with the open problem of whether the BFGS method with inexact line search converges globally when applied to nonconvex unconstrained optimization …
G Yuan, M Zhang, Y Zhou - Applied Mathematics Letters, 2022 - Elsevier
Abstract The Broyden–Fletcher–Goldfarb–Shanno (BFGS) method plays an important role among the quasi-Newton algorithms for nonconvex and unconstrained optimization …
Z Wan, S Huang, XD Zheng - Journal of Inequalities and Applications, 2012 - Springer
In this paper, a new inexact line search rule is presented, which is a modified version of the classical Armijo line search rule. With lower cost of computation, a larger descent magnitude …
R Dehghani, N Bidabadi, MM Hosseini - Computational and Applied …, 2018 - Springer
Using chain rule, we propose a modified secant equation to get a more accurate approximation of the second curvature of the objective function. Then, based on this …