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On the decrease of a quadratic function along the projected--gradient path

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F08%3A00018865" target="_blank" >RIV/61989100:27240/08:00018865 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the decrease of a quadratic function along the projected--gradient path

  • Original language description

    The Euclidean gradient projection is an efficient tool for the expansion of an active set in the active set based algorithms for the solution of bound constrained quadratic programming problems. In this paper we examine the decrease of the convex cost function along the projected--gradient path and extend the earlier estimate by Joachim Sch"oberl. The result is an important ingredient in the development of optimal algorithms for the solution of convex quadratic programming problems.

  • Czech name

    Pokles kvadratické funkce podél projektovaného gradientu

  • Czech description

    V práci je odhadnut pokles kvadratické funkce podél projektovaného gradientu. Práce rozšiřuje výsledek Joachyma Schoeberla a je významným příspěvkem ve vývoji optimálních algoritmů pro řešení úloh konvexního kvadratického programování.

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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Electronic Transactions on Numerical Analysis

  • ISSN

    1068-9613

  • e-ISSN

  • Volume of the periodical

    31

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    5

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database