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Minimizing quadratic functions with separable quadratic constraints

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27600%2F07%3A10223883" target="_blank" >RIV/61989100:27600/07:10223883 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Minimizing quadratic functions with separable quadratic constraints

  • Original language description

    This paper deals with minimizing quadratic functions with a special form of quadratic constraints arising in 3D contact problems of linear elasticity with isotropic friction. The proposed algorithm combines the acive-set method with the conjugate gradient method. Its general scheme is similar to algorithms of the Polyak?s type that solve the quadratic programming problems with simple bounds. Since the algorithm does not terminate in a finite number of steps, the convergence is proved. The implementationuses an adaptive precision control of the conjugate gradient loops. Numerical experiments demonstrate the computational efficiency of the method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1ET400300415" target="_blank" >1ET400300415: Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Optimization Methods and Software

  • ISSN

    1055-6788

  • e-ISSN

  • Volume of the periodical

    22

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    15

  • Pages from-to

    453-467

  • UT code for WoS article

  • EID of the result in the Scopus database