0541231 20240103225625.420210319235959.9 000636678300020 85102060544 10.1137/19M1257408 29 s. P cav_un_epca*02550731052-6234311 (2021)489-517SIAM Society for Industrial and Applied Mathematics Newton method semismoothness* superlinear convergence generalized equation coderivatives cav_un_auth*0319636 Gfrerer H. AT cav_un_auth*0101173 Outrata Jiří UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2021/MTR/outrata-0541231.pdf https://epubs.siam.org/doi/10.1137/19M1257408 GA17-04301S GA ČR cav_un_auth*0347023 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. WOS BA 10000 10100 10101 2022 RVO:67985556 http://hdl.handle.net/11104/0318817 S 1* Article Mathematics Applied C MATHEMATICS.APPLIED 3.982 0.7 11.7 0.01449 2.555 10451 152 3.020 40.9 2.76 1241 Q1 2.510 120 Q1 84.8 Q1* Q1* 1.5 Q1 84.831 2021 85102060544 SCOPUS PUBMED 000636678300020 WOS 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