Y Xiao, H Sun, Z Wang - Journal of computational and applied mathematics, 2009 - Elsevier
In this paper, we propose a modified BFGS (Broyden–Fletcher–Goldfarb–Shanno) method with nonmonotone line search for unconstrained optimization. Under some mild conditions …
W Cheng, D Li - Journal of Optimization Theory and Applications, 2012 - Springer
In this paper, we propose an active set modified Polak–Ribiére–Polyak method for solving large-scale optimization with simple bounds on the variables. The active set is guessed by …
In this paper, we first develop an active set identification technique, and then we suggest a modified nonmonotone line search rule, in which a new parameter formula is introduced to …
H Liu, X Li - Computational Optimization and Applications, 2013 - Springer
Non-negative matrix factorization (NMF) is a problem to obtain a representation of data using non-negativity constraints. Since the NMF was first proposed by Lee, NMF has …
We present a new spectral conjugate gradient method based on the Dai-Yuan strategy to solve large-scale unconstrained optimization problems with applications to compressive …
In this paper, by means of an active set strategy, we present a projected spectral gradient algorithm for solving large-scale bound constrained optimization problems. A nice property …
Z Yu, J Sun, Y Qin - Journal of computational and applied mathematics, 2011 - Elsevier
In this paper, we consider a multivariate spectral projected gradient (MSPG) method for bound constrained optimization. Combined with a quasi-Newton property, the multivariate …
X Xu, J Liu, W Li, Y Xu, F Li - AIMS Mathematics, 2024 - aimspress.com
In this paper, an active set recognition technique is suggested, and then a modified nonmonotonic line search rule is presented to enhance the efficiency of the nonmonotonic …
J Li, W Li, X Liu - Numerical Mathematics: Theory, Methods …, 2020 - search.ebscohost.com
In this paper, we first present an adaptive nonmonotone term to improve the efficiency of nonmonotone line search, and then an active set identification technique is suggested to get …