| bibtype |
J -
Journal Article
|
| ARLID |
0541231 |
| utime |
20240103225625.4 |
| mtime |
20210319235959.9 |
| WOS |
000636678300020 |
| SCOPUS |
85102060544 |
| DOI |
10.1137/19M1257408 |
| title
(primary) (eng) |
On a Semismooth* Newton Method for Solving Generalized Equations |
| specification |
| page_count |
29 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0255073 |
| ISSN |
1052-6234 |
| title
|
SIAM Journal on Optimization |
| volume_id |
31 |
| volume |
1 (2021) |
| page_num |
489-517 |
| publisher |
| name |
SIAM Society for Industrial and Applied Mathematics |
|
|
| keyword |
Newton method |
| keyword |
semismoothness* |
| keyword |
superlinear 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. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA17-04301S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0347023 |
|
| abstract
(eng) |
In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multivalued part of the considered GE. The method is based on the new notion of semismoothness*, which, together with a suitable regularity condition, ensures the local superlinear convergence. An implementable version of the new method is derived for a class of GEs, frequently arising in optimization and equilibrium models.\n |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2022 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0318817 |
| confidential |
S |
| mrcbC86 |
1* Article Mathematics Applied |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICS.APPLIED |
| mrcbT16-f |
3.982 |
| mrcbT16-g |
0.7 |
| mrcbT16-h |
11.7 |
| mrcbT16-i |
0.01449 |
| mrcbT16-j |
2.555 |
| mrcbT16-k |
10451 |
| mrcbT16-q |
152 |
| mrcbT16-s |
3.020 |
| mrcbT16-y |
40.9 |
| mrcbT16-x |
2.76 |
| mrcbT16-3 |
1241 |
| mrcbT16-4 |
Q1 |
| mrcbT16-5 |
2.510 |
| mrcbT16-6 |
120 |
| mrcbT16-7 |
Q1 |
| mrcbT16-C |
84.8 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| mrcbT16-M |
1.5 |
| mrcbT16-N |
Q1 |
| mrcbT16-P |
84.831 |
| arlyear |
2021 |
| mrcbU14 |
85102060544 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000636678300020 WOS |
| mrcbU63 |
cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 31 č. 1 2021 489 517 SIAM Society for Industrial and Applied Mathematics |
|