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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…
Differentiability Properties of a Parametric Consumer Problem
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
We study the budget map and the indirect utility function of a parametric consumer problem in a Banach space setting by some advanced tools from set-valued and variational analysis…