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On Some Incremental Algorithms for the Minimum Sum-of-Squares Clustering Problem. Part 1: Ordin and Bagirov's Incremental Algorithm
Tran Hung Cuong, Jen-Chih Yao, Nguyen Dong Yen
Solution methods for the minimum sum-of-squares clustering (MSSC) problem are analyzed and developed in this paper. Based on the DCA (Difference-of-Convex functions Algorithms) in…
Qualitative Properties of the Minimum Sum-of-Squares Clustering Problem
Tran Hung Cuong, Jen-Chih Yao, Nguyen Dong Yen
A series of basic qualitative properties of the minimum sum-of-squares clustering problem are established in this paper. Among other things, we clarify the solution existence, prop…
Convergence of a Solution Algorithm in Indefinite Quadratic Programming
Tran Hung Cuong, Yongdo Lim, Nguyen Dong Yen
It is proved that, for an indefinite quadratic programming problem under linear constraints, any iterative sequence generated by the Proximal DC decomposition algorithm -linearl…