ABS Methods and ABSPACK for Linear Systems and Optimization, a Review

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dc.creatorSpedicato, Emilio
dc.creatorBodon, Elena
dc.creatorDel Popolo, Antonino
dc.creatorMahdavi-Amiri, Nezam
dc.date2002-09-12
dc.date.accessioned2026-07-07T02:05:08Z
dc.date.available2026-07-07T02:05:08Z
dc.descriptionABS methods are a large class of methods, based upon the Egervary rank reducing algebraic process, first introduced in 1984 by Abaffy, Broyden and Spedicato for solving linear algebraic systems, and later extended to nonlinear algebraic equations, to optimization problems and other fields; software based upon ABS methods is now under development. Current ABS literature consists of about 400 papers. ABS methods provide a unification of several classes of classical algorithms and more efficient new solvers for a number of problems. In this paper we review ABS methods for linear systems and optimization, from both the point of view of theory and the numerical performance of ABSPACK.
dc.description18 pages; accepted for publication by 4OR
dc.identifierhttps://arxiv.org/abs/astro-ph/0209241
dc.identifierhttp://arxiv.org/abs/astro-ph/0209241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/5011
dc.subjectAstrophysics
dc.titleABS Methods and ABSPACK for Linear Systems and Optimization, a Review
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