| bibtype |
J -
Journal Article
|
| ARLID |
0569924 |
| utime |
20230418205415.7 |
| mtime |
20230313235959.9 |
| SCOPUS |
85142726035 |
| WOS |
000889040500001 |
| DOI |
10.1007/s11228-022-00651-2 |
| title
(primary) (eng) |
On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind |
| specification |
| page_count |
32 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0343967 |
| ISSN |
1877-0533 |
| title
|
Set-Valued and Variational Analysis |
| volume_id |
30 |
| volume |
4 (2022) |
| page_num |
1453-1484 |
| publisher |
|
|
| keyword |
Newton method |
| keyword |
Semismoothness∗ |
| keyword |
Superlinear convergence |
| keyword |
Global convergence |
| keyword |
Generalized equation |
| keyword |
Coderivatives |
| author
(primary) |
| ARLID |
cav_un_auth*0319636 |
| name1 |
Gfrerer |
| name2 |
H. |
| country |
AT |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| abstract
(eng) |
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. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2023 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0341243 |
| confidential |
S |
| mrcbC86 |
n.a. Article Mathematics Applied |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
0.937 |
| mrcbT16-s |
0.86 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q2 |
| arlyear |
2022 |
| mrcbU14 |
85142726035 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000889040500001 WOS |
| mrcbU63 |
cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 30 č. 4 2022 1453 1484 Springer |
|