title: On the direction of the steepest descent
metadata.name: dc.contributor.author
metadata.value: Malozemov, Vassili N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tamasyan, Grigoriy Sh.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-03-05T12:07:13Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-03-05T12:07:13Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Malozemov V. N., Tamasyan G. Sh. On the direction of the steepest descent. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 4, pp. 489–501.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.406
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17159
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article is dedicated of memory of Professor V. F. Demyanov (1938—2014). The main
  scientific interests of V. F. Demyanov lay in the field of numerical optimization methods,
  where the notion of the direction of the steepest descent plays an important role. This
  notion is introduced for both smooth and nonsmooth functions, both in constrained and
  unconstrained cases. This paper provides a detailed analysis of methods for constructing
  the direction of steepest descent. In all cases, it comes down to solving the quadratic
  programming problem. Particular attention is paid to nonsmooth functions, in the study
  of which V. F. Demyanov made a significant contribution. An example of a function which is quasidifferentiable at a point is given. This function has two directions of the steepest
  descent and two directions of the steepest ascent.
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 15; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: steepest descent direction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonsmooth analysis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quasidifferential
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the direction of the steepest descent
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 489-501.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17159/1/489-501.pdf
resources.format: Adobe PDF
resources.size: 313,08 kB