Concurrent Crossover for PDHG

Fuente: arXiv
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Autore principale: Rothberg, Edward
Natura: Preprint
Pubblicazione: 2025
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author Rothberg, Edward
author_facet Rothberg, Edward
contents First-order methods based on the PDHG algorithm have recently emerged as a viable option for efficiently solving large-scale linear programming problems. One highly desirable property of these methods is that they can make effective use of GPUs. One undesirable property is that, as first-order methods, their convergence can be extremely slow. This property forces one to decide how much accuracy is truly necessary when solving an LP problem. This paper looks at whether a parallel, concurrent crossover scheme can help to obtain highly accurate solutions without sacrificing the benefits of these new approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2510_24429
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Concurrent Crossover for PDHG
Rothberg, Edward
Optimization and Control
First-order methods based on the PDHG algorithm have recently emerged as a viable option for efficiently solving large-scale linear programming problems. One highly desirable property of these methods is that they can make effective use of GPUs. One undesirable property is that, as first-order methods, their convergence can be extremely slow. This property forces one to decide how much accuracy is truly necessary when solving an LP problem. This paper looks at whether a parallel, concurrent crossover scheme can help to obtain highly accurate solutions without sacrificing the benefits of these new approaches.
title Concurrent Crossover for PDHG
topic Optimization and Control
url https://arxiv.org/abs/2510.24429