{ "id": "1502.06784", "version": "v1", "published": "2015-02-24T12:35:55.000Z", "updated": "2015-02-24T12:35:55.000Z", "title": "Asynchronous Algorithms for Linear Programs", "authors": [ "Tarek A. Lahlou", "Thomas A. Baran" ], "categories": [ "math.OC" ], "abstract": "In this paper we design and analyze algorithms for asynchronously solving linear programs using nonlinear signal processing structures. In particular, we discuss a general procedure for generating these structures such that a fixed-point of the structure is within a change of basis the minimizer of an associated linear program. We discuss methods for organizing the computation into distributed implementations and provide a treatment of convergence. The presented algorithms are accompanied by numerical simulations of the Chebyshev center and basis pursuit problems.", "revisions": [ { "version": "v1", "updated": "2015-02-24T12:35:55.000Z" } ], "analyses": { "keywords": [ "asynchronous algorithms", "basis pursuit problems", "nonlinear signal processing structures", "chebyshev center", "asynchronously solving linear programs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }