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math.OC2019
A proximal DC approach for quadratic assignment problem
Zhuoxuan Jiang, Xinyuan Zhao, Chao Ding
In this paper, we show that the quadratic assignment problem (QAP) can be reformulated to an equivalent rank constrained doubly nonnegative (DNN) problem. Under the framework of th…
math.OC2019
Nonsmooth Composite Matrix Optimization: Strong Regularity, Constraint Nondegeneracy and Beyond
Ying Cui, Chao Ding
The nonsmooth composite matrix optimization problem (CMatOP), in particular, the matrix norm minimization problem, is a generalization of the matrix conic programming problem with…
math.OC2018
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian
Chao Ding, Defeng Sun, Jie Sun +1
Spectral operators of matrices proposed recently in [C. Ding, D.F. Sun, J. Sun, and K.C. Toh, Math. Program. {\bf 168}, 509--531 (2018)] are a class of matrix valued functions, whi…