0569933 20240402213654.220230313235959.9 85141479391 000879681900001 10.1007/s10589-022-00429-0 33 s. P cav_un_epca*02525650926-6003863 (2023)1159-1191Springer Newton method semismoothness* Subspace containing derivative Generalized equation Signorini problem with Coulomb friction cav_un_auth*0319636 Gfrerer H. AT cav_un_auth*0447353 Mandlmayr M. 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. cav_un_auth*0292941 Valdman Jan 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/2023/MTR/valdman-0569933.pdf https://link.springer.com/article/10.1007/s10589-022-00429-0 GA22-15524S GA ČR CZ cav_un_auth*0447354 GF21-06569K GA ČR cav_un_auth*0412957 8J21AT001 GA MŠk cav_un_auth*0413224 In the paper, a variant of the semismooth* Newton method is developed for the numerical solution of generalized equations, in which the multi-valued part is a so-called SCD (subspace containing derivative) mapping. Under a rather mild regularity requirement, the method exhibits (locally) superlinear convergence behavior. From the main conceptual algorithm, two implementable variants are derived whose efficiency is tested via a generalized equation modeling a discretized static contact problem with Coulomb friction. WOS BA 10000 10100 10101 2024 RVO:67985556 https://hdl.handle.net/11104/0347209 S Article Operations Research Management Science|Mathematics Applied A OPERATIONSRESEARCH&MANAGEMENTSCIENCE|MATHEMATICS.APPLIED 2 0.4 9.6 0.00444 1.103 3171 91 1.322 40.35 2.04 653 Q1 1.400 95 Q2 56.3 Q2 Q1 0.79 Q2 73.3 2023 85141479391 SCOPUS PUBMED 000879681900001 WOS cav_un_epca*0252565 Computational Optimization and Applications 86 3 2023 1159 1191 0926-6003 1573-2894 Springer