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math.OC2026
New Globalized Newton-Type Methods for Nonconvex Optimization Problems
Vo Thanh Phat, Tuyen Tran
Newton's method is one of the most effective second-order algorithms for smooth optimization because of its fast local convergence. However, existing globally convergent Newton-typ…
math.OC2023
Duality Theory on Vector Spaces
Dang Van Cuong, Tuyen Tran
In this paper, we study the Fenchel-Rockafellar duality and the Lagrange duality in the general frame work of vector spaces without topological structures. We utilize the geometric…