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NEW OPERATOR AND METHOD FOR SOLVING REAL PRECONDITIONED INTERVAL LINEAR EQUATIONS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10282489" target="_blank" >RIV/00216208:11320/14:10282489 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1137/130914358" target="_blank" >http://dx.doi.org/10.1137/130914358</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/130914358" target="_blank" >10.1137/130914358</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    NEW OPERATOR AND METHOD FOR SOLVING REAL PRECONDITIONED INTERVAL LINEAR EQUATIONS

  • Original language description

    We deal with real preconditioned interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel operator. Also, based on the new operator and properties of well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach outperforms some classical methods with respect to both time and sharpness of enclosures.

  • 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/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SIAM Journal on Numerical Analysis

  • ISSN

    0036-1429

  • e-ISSN

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    194-206

  • UT code for WoS article

    000333419300011

  • EID of the result in the Scopus database