DOI

The paper considers a classical problem of calculus of variations with a nonsmooth integrand of the minimized functional. The integrand is assumed to be only subdifferentiable. Under some natural conditions the subdifferentiability of the functional considered is proved. The steepest (subdifferential) descent is found. Then the subdifferential descent method is applied to solve the initial problem. Some numerical examples demonstrate the algorithm implementation.

Original languageEnglish
Title of host publicationMathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings
EditorsPanos Pardalos, Michael Khachay, Vladimir Mazalov
PublisherSpringer Nature
Pages34-45
Number of pages12
ISBN (Print)9783031096068
DOIs
StatePublished - 2022
Event21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022 - Petrozavodsk, Russian Federation
Duration: 2 Jul 2022 → 6 Jul 2022

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13367 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022
Country/TerritoryRussian Federation
CityPetrozavodsk
Period2/07/22 → 6/07/22

    Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

    Research areas

  • Nonsmooth variational problem, Subdifferential, Subdifferential descent method

ID: 97290678