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Characterization of unique solvability of absolute value equations: an overview, extensions, and future directions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10488660" target="_blank" >RIV/00216208:11320/24:10488660 - isvavai.cz</a>

  • Alternative codes found

    RIV/44555601:13440/24:43898375

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cSvP5mRXf4" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cSvP5mRXf4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11590-024-02094-0" target="_blank" >10.1007/s11590-024-02094-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Characterization of unique solvability of absolute value equations: an overview, extensions, and future directions

  • Original language description

    This paper provides an overview of the necessary and sufficient conditions for guaranteeing the unique solvability of absolute value equations. In addition to discussing the basic form of these equations, we also address several generalizations, including generalized absolute value equations and matrix absolute value equations. Our survey encompasses known results as well as novel characterizations proposed in this study.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    50201 - Economic Theory

Result continuities

  • Project

    <a href="/en/project/GA22-11117S" target="_blank" >GA22-11117S: Global sensitivity analysis and stability in optimization problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Optimization Letters

  • ISSN

    1862-4472

  • e-ISSN

    1862-4480

  • Volume of the periodical

    18

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    19

  • Pages from-to

    889-907

  • UT code for WoS article

    001159572900001

  • EID of the result in the Scopus database

    2-s2.0-85184494243