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Numerical Solution of Generalized Minimax Problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F20%3A00522789" target="_blank" >RIV/67985807:_____/20:00522789 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/978-3-030-34910-3" target="_blank" >https://doi.org/10.1007/978-3-030-34910-3</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-34910-3_11" target="_blank" >10.1007/978-3-030-34910-3_11</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical Solution of Generalized Minimax Problems

  • Original language description

    This contribution contains the description and investigation of three numerical methods for solving generalized minimax problems. These problems consists in the minimization of nonsmooth functions which are compositions of special smooth convex functions with maxima of smooth functions. The most important functions of this type are the sums of maxima of smooth functions. Section 11.2 is devoted to primal interior point methods which use solutions of nonlinear equations for obtaining minimax vectors. Section 11.3 contains investigation of smoothing methods, based on using exponential smoothing terms. Section 11.4 contains short description of primal-dual interior point methods based on transformation of generalized minimax problems to general nonlinear programming problems. Finally the last section contains results of numerical experiments.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Book/collection name

    Numerical Nonsmooth Optimization

  • ISBN

    978-3-030-34909-7

  • Number of pages of the result

    52

  • Pages from-to

    363-414

  • Number of pages of the book

    698

  • Publisher name

    Springer

  • Place of publication

    Cham

  • UT code for WoS chapter