On the convergence of quasi-Newton methods for nonsmooth problems

dc.creatorLopes, VLR
dc.creatorMartinez, JM
dc.date1995
dc.date2014-12-16T11:35:42Z
dc.date2015-11-26T17:30:45Z
dc.date2014-12-16T11:35:42Z
dc.date2015-11-26T17:30:45Z
dc.date.accessioned2018-03-29T00:17:37Z
dc.date.available2018-03-29T00:17:37Z
dc.identifierNumerical Functional Analysis And Optimization. Marcel Dekker Inc, v. 16, n. 41921, n. 1193, n. 1209, 1995.
dc.identifier0163-0563
dc.identifierWOS:A1995TX01000007
dc.identifier10.1080/01630569508816669
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/81888
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/81888
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/81888
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1285581
dc.descriptionWe develop a theory of quasi-Newton and least-change update methods for solving systems of nonlinear equations F(x) = 0. In this theory, no differentiability conditions are necessary. Instead, we assume that F can be approximated, in a weak sense, by an affine function in a neighborhood of a solution. Using this assumption, we prove local and ideal convergence. Our theory can be applied to B-differentiable functions and to partially differentiable functions.
dc.description16
dc.description41921
dc.description1193
dc.description1209
dc.languageen
dc.publisherMarcel Dekker Inc
dc.publisherNew York
dc.relationNumerical Functional Analysis And Optimization
dc.relationNumer. Funct. Anal. Optim.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectnonlinear equations
dc.subjectquasi-Newton methods
dc.subjectlocal convergence
dc.subjectnonsmooth functions
dc.subjectSecant Update Methods
dc.subjectLocal Convergence
dc.subjectNondifferentiable Terms
dc.subjectNonlinear Equations
dc.titleOn the convergence of quasi-Newton methods for nonsmooth problems
dc.typeArtículos de revistas


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