Linear-quadratic programming and its application to data correction of improper linear programming problems

Abstract: The problem of maximizing a linear function with linear and quadratic constraints is considered. The solution of the problem is obtained in a constructive form using the Lagrange function and the optimality conditions. Many optimization problems can be reduced to the problem of this type. In this paper, as an application, we consider an improper linear programming problem formalized in the form of maximization of the initial linear criterion with a restriction to the Euclidean norm of the correction vector of the right-hand side of the constraints or the Frobenius norm of the correction matrix of both sides of the constraints.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Linear-quadratic programming and its application to data correction of improper linear programming problems ; volume:10 ; number:1 ; year:2020 ; pages:48-55 ; extent:8 ; Open computer science ; 10, Heft 1 (2020), 48-55 (gesamt 8)

Contributors, Places and Time

• Creator: Gorelik, Victor ; Zolotova, Tatiana

Further information

• DOI: 10.1515/comp-2020-0005
• URN: urn:nbn:de:101:1-2410301504449.416125103389
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 15.08.2025, 7:30 AM CEST