title: Representations of continuous piecewise affine functions
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: 2022-04-14T11:17:16Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-04-14T11:17:16Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Malozemov V. N., Tamasyan G. Sh. Representations of continuous piecewise affine functions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 1, pp. 53–63.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.106
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/36154
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Continuous piecewise affine functions are widely used in computational mathematics. In
  one-dimensional case such functions are called broken lines. The article analyzes the analytical
  representations of broken lines in the forms accepted in the theory of polynomial
  splines as well as in the form of the difference of the maxima of two finite families of affine
  functions. The connection between these representation is being determined.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The results of Section 7 were obtained in the Institute of Problems of Mechanical Engineering,
  Russian Academy of Sciences with the support of the Russian Science Foundation (project No. 20-71-
  10032).
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. Mathematics. Mechanics. Astronomy;Volume 9; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: piecewise affine function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: broken line
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: analytical representations of broken lines
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: difference of convex functions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Representations of continuous piecewise affine functions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 53-63.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/36154/1/53-63.pdf
resources.format: Adobe PDF
resources.size: 299,56 kB