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On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces
Sonali Sharma, V. Vetrivel, Jein-Shan Chen
This paper investigates the convexity of the solution set of the linear complementarity problems over tensor spaces (TLCPs). We introduce the notion of a -column sufficient tens…
Interval optimization problems on Hadamard manifolds:Solvability and Duality
Le Tram Nguyen, Yu-Lin Chang, Chu-Chin Hu +1
In this paper, we will study about the solvability and duality of interval optimization problems on Hadamard manifolds. It includes the KKT conditions, and Wofle dual problem with…
Unified Smoothing Approach for Best Hyperparameter Selection Problem Using a Bilevel Optimization Strategy
Jan Harold Alcantara, Chieu Thanh Nguyen, Takayuki Okuno +2
Strongly motivated from use in various fields including machine learning, the methodology of sparse optimization has been developed intensively so far. Especially, the recent advan…
Method of Alternating Projection for the Absolute Value Equation
Jan Harold Alcantara, Jein-Shan Chen, Matthew K. Tam
A novel approach for solving the general absolute value equation where and is presented. We reformulate the equati…
Exact formula for the second-order tangent set of the second-order cone complementarity set
Jein-Shan Chen, Jane J. Ye, Jin Zhang +1
The second-order tangent set is an important concept in describing the curvature of the set involved. Due to the existence of the complementarity condition, the second-order cone (…