1. DSpace at Saint Petersburg State University
  2. St.PETERSBURG UNIVERSITY ACADEMIC PRESS
  3. ACADEMIC JOURNALS
  4. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
  5. 2022
  6. Issue 1
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dc.contributor.authorMalozemov, Vassili N.-
dc.contributor.authorTamasyan, Grigoriy Sh.-
dc.date.accessioned2022-04-14T11:17:16Z-
dc.date.available2022-04-14T11:17:16Z-
dc.date.issued2022-03-
dc.identifier.citationMalozemov 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.en_GB
dc.identifier.otherhttps://doi.org/10.21638/spbu01.2022.106-
dc.identifier.urihttp://hdl.handle.net/11701/36154-
dc.description.abstractContinuous 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.en_GB
dc.description.sponsorshipThe 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).en_GB
dc.language.isoruen_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9; Issue 1-
dc.subjectpiecewise affine functionen_GB
dc.subjectbroken lineen_GB
dc.subjectanalytical representations of broken linesen_GB
dc.subjectdifference of convex functionsen_GB
dc.titleRepresentations of continuous piecewise affine functionsen_GB
dc.typeArticleen_GB
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