5 papers
A smoothing extended sequential quadratic method for difference-of-convex optimization over a convex composite inequality constraint
Jiefeng Xu, Ting Kei Pong, Yongle Zhang
We consider the problem of minimizing a difference-of-convex objective over a convex composite inequality constraint and a compact convex set constraint. To solve this problem, we…
A Variational Characterization and A Line Search Newton-Noda Method for the unifying spectral problem of nonnegative tensors
Jiefeng Xu, Xueli Bai, Dong-Hui Li
We study the general -eigenvalue problem of nonnegative tensors introduced by A. Gautier, F. Tudisco, and M. Hein [SIAM J. Matrix Anal. Appl., 40 (2019),…
A smoothing moving balls approximation method for a class of conic-constrained difference-of-convex optimization problems
Jiefeng Xu, Ting Kei Pong, Nung-sing Sze
In this paper, we consider the problem of minimizing a difference-of-convex objective over a nonlinear conic constraint, where the cone is closed, convex, pointed and has a nonempt…
A Feasible Conjugate Gradient Method for Calculating -Eigenpairs of Symmetric Tensors
Jiefeng Xu, Can Li, Dong-Hui Li
In this paper, we propose a feasible conjugate gradient (FCG) method for calculating -eigenpairs of a symmetric tensor . The method is an extension of t…
Feasible Newton's methods for symmetric tensor Z-eigenvalue problems
Dong-hui Li, Xueli Bai, Jiefeng Xu
Finding a Z-eigenpair of a symmetric tensor is equivalent to finding a KKT point of a sphere constrained minimization problem. Based on this equivalency, in this paper, we first pr…