Stability of convergent continuous descent methods

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dc.contributor.authorAizicovici, Sergiu
dc.contributor.authorReich, Simeon
dc.contributor.authorZaslavski, Alexander J.
dc.date.accessioned2021-08-04T13:35:02Z
dc.date.available2021-08-04T13:35:02Z
dc.date.issued2007-02-22
dc.description.abstractWe consider continuous descent methods for the minimization of convex functions defined on a general Banach space. In our previous work we showed that most of them (in the sense of Baire category) converged. In the present paper we show that convergent continuous descent methods are stable under small perturbations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent6 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAizicovici, S., Reich, S., & Zaslavski, A. J. (2007). Stability of convergent continuous descent methods. <i>Electronic Journal of Differential Equations, 2007</i>(31), pp. 1-6.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14182
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectComplete uniform space
dc.subjectConvex function
dc.subjectDescent method
dc.subjectGeneric property
dc.subjectInitial value problem
dc.titleStability of convergent continuous descent methods
dc.typeArticle

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