Standard

The subdifferential descent method in a nonsmooth variational problem. / Fominyh, A. V.

In: Optimization Letters, 13.06.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Fominyh, AV 2022, 'The subdifferential descent method in a nonsmooth variational problem', Optimization Letters. https://doi.org/10.1007/s11590-022-01897-3

APA

Fominyh, A. V. (2022). The subdifferential descent method in a nonsmooth variational problem. Optimization Letters. https://doi.org/10.1007/s11590-022-01897-3

Vancouver

Fominyh AV. The subdifferential descent method in a nonsmooth variational problem. Optimization Letters. 2022 Jun 13. https://doi.org/10.1007/s11590-022-01897-3

Author

Fominyh, A. V. / The subdifferential descent method in a nonsmooth variational problem. In: Optimization Letters. 2022.

BibTeX

@article{f041075b96ce40acbb758c33060d3a43,
title = "The subdifferential descent method in a nonsmooth variational problem",
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 direction is solved and the subdifferential descent method is applied to solve the original problem. The algorithm developed is demonstrated by examples.",
keywords = "Nonsmooth variational problem, Subdifferential, Subdifferential descent method",
author = "Fominyh, {A. V.}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2022",
month = jun,
day = "13",
doi = "10.1007/s11590-022-01897-3",
language = "English",
journal = "Optimization Letters",
issn = "1862-4472",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - The subdifferential descent method in a nonsmooth variational problem

AU - Fominyh, A. V.

N1 - Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2022/6/13

Y1 - 2022/6/13

N2 - 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 direction is solved and the subdifferential descent method is applied to solve the original problem. The algorithm developed is demonstrated by examples.

AB - 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 direction is solved and the subdifferential descent method is applied to solve the original problem. The algorithm developed is demonstrated by examples.

KW - Nonsmooth variational problem

KW - Subdifferential

KW - Subdifferential descent method

UR - http://www.scopus.com/inward/record.url?scp=85131862757&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/f3ac8fec-1b40-3937-a1ce-a0996bb280b2/

U2 - 10.1007/s11590-022-01897-3

DO - 10.1007/s11590-022-01897-3

M3 - Article

AN - SCOPUS:85131862757

JO - Optimization Letters

JF - Optimization Letters

SN - 1862-4472

ER -

ID: 97125642