Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/32055
Title: | Face reduction and the immobile indices approaches to regularization of linear Copositive Programming problems |
Author: | Kostyukova, O. I. Tchemisova, T. V. |
Keywords: | Linear copositive programming Strong duality Normalized immobile index set Regularization Minimal cone Facial reduction Constraint qualifications |
Issue Date: | 31-Aug-2021 |
Publisher: | arXiv |
Abstract: | The paper is devoted to the regularization of linear Copositive Programming problems which consists of transforming a problem to an equivalent form, where the Slater condition is satisfied and the strong duality holds. We describe here two regularization algorithms based on the concept of immobile indices and an understanding of the important role these indices play in the feasible sets' characterization. These algorithms are compared to some regularization procedures developed for a more general case of convex problems and based on a facial reduction approach. We show that the immobile-index-based approach combined with the specifics of copositive problems allows us to construct more explicit and detailed regularization algorithms for linear Copositive Programming problems than those already available. |
Peer review: | no |
URI: | http://hdl.handle.net/10773/32055 |
Publisher Version: | https://arxiv.org/abs/2109.00080 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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ArXiv-Tatiana.pdf | 10.22 MB | Adobe PDF | View/Open |
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