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Convergence of the Nelder-Mead method for con- vex functions

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http://hdl.handle.net/20.500.14044/32447
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  • Acta Polytechnica Hungarica [175]
Abstract
We extend several result of Lagarias, Reeds, Wright and Wright [17] for various types of convex functions. The main main convergence theorem of [17] is also generalized to convex functions. We give counterexamples to indicate the tightness of the results.
Title
Convergence of the Nelder-Mead method for con- vex functions
Author
Galántai, Aurél
xmlui.dri2xhtml.METS-1.0.item-date-issued
2024
xmlui.dri2xhtml.METS-1.0.item-rights-access
Open access
xmlui.dri2xhtml.METS-1.0.item-identifier-issn
1785-8860
xmlui.dri2xhtml.METS-1.0.item-language
en
xmlui.dri2xhtml.METS-1.0.item-format-page
19 p.
xmlui.dri2xhtml.METS-1.0.item-subject-oszkar
Nelder-Mead simplex method, convergence, convex functions, counterexamples
xmlui.dri2xhtml.METS-1.0.item-description-version
Kiadói változat
xmlui.dri2xhtml.METS-1.0.item-identifiers
DOI: 10.12700/APH.21.10.2024.10.12
xmlui.dri2xhtml.METS-1.0.item-other-containerTitle
Acta Polytechnica Hungarica
xmlui.dri2xhtml.METS-1.0.item-other-containerPeriodicalYear
2024
xmlui.dri2xhtml.METS-1.0.item-other-containerPeriodicalVolume
21. évf.
xmlui.dri2xhtml.METS-1.0.item-other-containerPeriodicalNumber
10. sz.
xmlui.dri2xhtml.METS-1.0.item-type-type
Tudományos cikk
xmlui.dri2xhtml.METS-1.0.item-subject-area
Természettudományok - matematika- és számítástudományok
xmlui.dri2xhtml.METS-1.0.item-publisher-university
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