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

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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
- Óbudai Egyetem