English

The Subdifferential Descent Method in a Nonsmooth Variational Problem

Optimization and Control 2022-05-04 v1

Abstract

The paper is devoted to the classical variational problem with a nonsmooth integrand of the functional to be minimized. The integrand is supposed to be subdifferentiable. Under some natural conditions the subdifferentiability of the functional considered is proved. The problem of finding the subdifferential descent is being solved and the subdifferential descent method is applied to solve the original problem. The algorithm developed is demonstrated by examples.

Keywords

Cite

@article{arxiv.2205.01093,
  title  = {The Subdifferential Descent Method in a Nonsmooth Variational Problem},
  author = {Alexander Fominyh},
  journal= {arXiv preprint arXiv:2205.01093},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2205.00223

R2 v1 2026-06-24T11:05:07.307Z