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Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Open Access Research Article

Numerical solution of box constrained separable convex quadratic programming problems

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pp. 57–71Vol. 45Issue 1January 2024DOI: 10.47974/JIOS-1267XML
Received:
10 May 2022
Published Online:
05 Feb 2024
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1267
Pages:
57–71

Abstract

In this paper, minimization problems with a separable convex quadratic objective function subject to a linear equality constraint/linear equality constraints, and bounds on the variables (box constraints) are considered. A necessary and sufficient condition for a feasible solution to be an optimal solution to each of these problems has been established. A convergent polynomial algorithm for solving the problem with a linear equality constraint and bounded variables is proposed, and some numerical results, obtained by this algorithm, are presented.

Keywords

Subject Classifications

(2020) 90C2090C25

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