Spectral residual method without gradient information for solving large-scale nonlinear systems of equations

dc.creatorLa Cruz, W
dc.creatorMartinez, JM
dc.creatorRaydan, M
dc.date2006
dc.date2014-11-16T20:22:17Z
dc.date2015-11-26T17:26:36Z
dc.date2014-11-16T20:22:17Z
dc.date2015-11-26T17:26:36Z
dc.date.accessioned2018-03-29T00:13:46Z
dc.date.available2018-03-29T00:13:46Z
dc.identifierMathematics Of Computation. Amer Mathematical Soc, v. 75, n. 255, n. 1429, n. 1448, 2006.
dc.identifier0025-5718
dc.identifierWOS:000239181800020
dc.identifier10.1090/S0025-5718-06-01840-0
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/72089
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/72089
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/72089
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1284586
dc.descriptionA fully derivative-free spectral residual method for solving large-scale nonlinear systems of equations is presented. It uses in a systematic way the residual vector as a search direction, a spectral steplength that produces a nonmonotone process and a globalization strategy that allows for this nonmonotone behavior. The global convergence analysis of the combined scheme is presented. An extensive set of numerical experiments that indicate that the new combination is competitive and frequently better than well-known Newton-Krylov methods for large-scale problems is also presented.
dc.description75
dc.description255
dc.description1429
dc.description1448
dc.languageen
dc.publisherAmer Mathematical Soc
dc.publisherProvidence
dc.publisherEUA
dc.relationMathematics Of Computation
dc.relationMath. Comput.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectnonlinear systems
dc.subjectspectral gradient method
dc.subjectnonmonotone line search
dc.subjectNewton-Krylov methods
dc.subjectBarzilai-borwein Method
dc.subjectLine Search
dc.subjectConvex-sets
dc.subjectConvergence
dc.titleSpectral residual method without gradient information for solving large-scale nonlinear systems of equations
dc.typeArtículos de revistas


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