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A Sign Function Approach to Solve Algebraically Interval System of Linear Equations for Nonnegative Solutions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365244" target="_blank" >RIV/00216208:11320/17:10365244 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3233/FI-2017-1510" target="_blank" >http://dx.doi.org/10.3233/FI-2017-1510</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3233/FI-2017-1510" target="_blank" >10.3233/FI-2017-1510</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Sign Function Approach to Solve Algebraically Interval System of Linear Equations for Nonnegative Solutions

  • Original language description

    This paper deals with solving interval system of linear equations. The problem is to find a nonnegative algebraic solution. Based on sign function approach and using interval center and radius arithmetic operations, we propose an algorithm for computation of an algebraic interval solution vector. We also discuss fundamental properties of this solution vector, such as existence and uniqueness. Further, the nonnegative solution algorithm has been extended to other sign-restricted approach. Numerical examples of interval system of linear equations show efficiency of the algorithms presented.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

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

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fundamenta Informaticae

  • ISSN

    0169-2968

  • e-ISSN

  • Volume of the periodical

    152

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    PL - POLAND

  • Number of pages

    19

  • Pages from-to

    13-31

  • UT code for WoS article

    000398597900002

  • EID of the result in the Scopus database