Number of the records: 1  

On a Semismooth* Newton Method for Solving Generalized Equations

  1. 1.
    SYSNO ASEP0541231
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn a Semismooth* Newton Method for Solving Generalized Equations
    Author(s) Gfrerer, H. (AT)
    Outrata, Jiří (UTIA-B) RID
    Source TitleSIAM Journal on Optimization. - : SIAM Society for Industrial and Applied Mathematics - ISSN 1052-6234
    Roč. 31, č. 1 (2021), s. 489-517
    Number of pages29 s.
    Publication formPrint - P
    Languageeng - English
    CountryUS - United States
    KeywordsNewton method ; semismoothness* ; superlinear convergence ; generalized equation ; coderivatives
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA17-04301S GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportUTIA-B - RVO:67985556
    UT WOS000636678300020
    EID SCOPUS85102060544
    DOI10.1137/19M1257408
    AnnotationIn 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.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2022
    Electronic addresshttps://epubs.siam.org/doi/10.1137/19M1257408
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.