An Efficient Solution Method for Solving Convex Separable Quadratic Optimization Problems

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Li, Shaoze, Wu, Junhao, Lu, Cheng, Deng, Zhibin, Fang, Shu-Cherng
Natura: Preprint
Pubblicazione: 2025
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866908589694648320
author Li, Shaoze
Wu, Junhao
Lu, Cheng
Deng, Zhibin
Fang, Shu-Cherng
author_facet Li, Shaoze
Wu, Junhao
Lu, Cheng
Deng, Zhibin
Fang, Shu-Cherng
contents Convex separable quadratic optimization problems occur in many practical applications. In this paper, based on an iterative resolution scheme of the KKT system, we develop an efficient method for solving a quadratic programming problem with a convex separable objective function subject to multiple convex separable constraints. We show that the proposed approach leads to a dual coordinate ascent algorithm and provide a convergence proof. Numerical experiments support the superior performance of the proposed method to that of the Gurobi solver, especially for solving large-scale convex separate quadratic programming problems.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11554
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Efficient Solution Method for Solving Convex Separable Quadratic Optimization Problems
Li, Shaoze
Wu, Junhao
Lu, Cheng
Deng, Zhibin
Fang, Shu-Cherng
Optimization and Control
Convex separable quadratic optimization problems occur in many practical applications. In this paper, based on an iterative resolution scheme of the KKT system, we develop an efficient method for solving a quadratic programming problem with a convex separable objective function subject to multiple convex separable constraints. We show that the proposed approach leads to a dual coordinate ascent algorithm and provide a convergence proof. Numerical experiments support the superior performance of the proposed method to that of the Gurobi solver, especially for solving large-scale convex separate quadratic programming problems.
title An Efficient Solution Method for Solving Convex Separable Quadratic Optimization Problems
topic Optimization and Control
url https://arxiv.org/abs/2510.11554