Numerical Solution of Generalized Minimax Problems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of Generalized Minimax Problems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Numerical Solution of Generalized Minimax Problems

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Numerical Nonsmooth Optimization

ISBN

978-3-030-34909-7

Počet stran výsledku

52

Strana od-do

363-414

Počet stran knihy

698

Název nakladatele

Springer

Místo vydání

Cham

Kód UT WoS kapitoly

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