title: Calculus of second order coexhausters
metadata.name: dc.contributor.author
metadata.value: Abbasov, Majid E.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-01-16T15:37:15Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-01-16T15:37:15Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Abbasov M. E. Calculus of second order coexhausters. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 4, pp. 276–285.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.401
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15241
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Coexhasuter is a new notion in the nonsmooth analysis that allows one to study extremal
  properties of a wide class of functions. This class is introduced in a constructive manner
  analogous to the “classical” smooth case. Formulas of calculus were developed. Coexhausters
  are families of convex compact sets allowing one to approximate the increment of the studied
  function in the neighbourhood of the considered point in the form of MaxMin or MiniMax of affine functions. For a more detailed study of nonsmooth functions, a notion of secondorder
  coexhausters was introduced. These are also families of convex compact sets which
  are used to represent the approximation of the increment of the studied function in the
  form of MaxMin or MiniMax of quadratic functions. These objects are used to build secondorder
  optimization algorithms. However, an important problem of constructing calculus arises
  again. The solution to this problem is the subject of this paper.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Found of Fundamental Research (project N 18-31-00014 mol-a).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 14; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonsmooth analysis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nondifferentiable optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: second order coexhausters
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Calculus of second order coexhausters
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 01-Abbasov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15241/1/01-Abbasov.pdf
resources.format: Adobe PDF
resources.size: 284,46 kB