Work

Novel Constructions for Closed Convex Cones Through Inequalities and Support Functions

Year: 2025

Type: article

Abstract: Two novel ways to generate closed convex cones, the main ingredient of conic optimization, are proposed in this study. The first way is constructing closed convex cones via inequalities, whereas the second one is through support functions. The contribution of this article is twofold. One is opening up new ideas for looking into structures of closed convex cones. The other one is providing novel approaches and mediums for investigating conic optimization.

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-025-02654-z

Authors: Ching-Yu Yang, Yu-Lin Chang, Chu-Chin Hu, Jein-Shan Chen

Institution: National Taiwan Normal University

Language: English

Topic: Advanced Optimization Algorithms Research

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: National Taiwan Normal University