On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00569924" target="_blank" >RIV/67985556:_____/22:00569924 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21240/22:00364981

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11228-022-00651-2" target="_blank" >https://link.springer.com/article/10.1007/s11228-022-00651-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11228-022-00651-2" target="_blank" >10.1007/s11228-022-00651-2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind

Popis výsledku v původním jazyce

The paper starts with a description of SCD (subspace containing derivative) mappings and the SCD Newton method for the solution of general inclusions. This method is then applied to a class of variational inequalities of the second kind. As a result, one obtains an implementable algorithm which exhibits locally superlinear convergence. Thereafter we suggest several globally convergent hybrid algorithms in which one combines the SCD Newton method with selected splitting algorithms for the solution of monotone variational inequalities. Finally, we demonstrate the efficiency of one of these methods via a Cournot-Nash equilibrium, modeled as a variational inequality of the second kind, where one admits really large numbers of players (firms) and produced commodities.

Název v anglickém jazyce

On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind

Popis výsledku anglicky

The paper starts with a description of SCD (subspace containing derivative) mappings and the SCD Newton method for the solution of general inclusions. This method is then applied to a class of variational inequalities of the second kind. As a result, one obtains an implementable algorithm which exhibits locally superlinear convergence. Thereafter we suggest several globally convergent hybrid algorithms in which one combines the SCD Newton method with selected splitting algorithms for the solution of monotone variational inequalities. Finally, we demonstrate the efficiency of one of these methods via a Cournot-Nash equilibrium, modeled as a variational inequality of the second kind, where one admits really large numbers of players (firms) and produced commodities.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GF21-06569K" target="_blank" >GF21-06569K: Škály a tvary v termomechanice continua</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Set-Valued and Variational Analysis

ISSN

1877-0533

e-ISSN

1877-0541

Svazek periodika

30

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

32

Strana od-do

1453-1484

Kód UT WoS článku

000889040500001

EID výsledku v databázi Scopus

2-s2.0-85142726035