Journal of convex analysis· 2026Q2
On Parametric Copositive Programming Problems
- 0citations
- Q2SCImago
- 2026year
Short summary
A new method constructs unique primal and dual solutions for one-parametric copositive programming problems by transforming them into a system of bi-linear and linear equations.
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Key points
- Parametric copositive programming problems are analyzed by relating them to block semi-infinite programming.
- A system of bi-linear and linear equations is derived from the properties of the copositive cone.
- This system enables the construction of unique primal and dual solutions for perturbed parameter values.
AI-generated from the title and abstract; the full text is not read.
Abstract
We consider a class of one-parametric copositive programming problems. The aim of the paper is to describe the behavior of solutions to these parametric problems under small parameter perturbations. To do this, we explore the properties of the unperturbed copositive programming problem and show that, under some assumptions, it is closely related to a special type of block semi-infinite programming problem. Taking into account this relationship and the known results on properties of the complementary set of the copositive cone, we obtain a system of a finite number of bi-linear and linear equations with respect to a finite number of variables and a parameter. Under the assumptions made, for any parameter value from a neighborhood of unperturbed parameter value, the system has a unique solution, which allows us to construct optimal primal and dual solutions to the corresponding parametric copositive programming problem.
The authors' abstract, as published at the source. Journal of convex analysis, 2026 · DOI ↗
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Field: Numerical Analysis
Numerical AnalysisMathematics