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The classification and the computation of the zeros of quaternionic, two-sided polynomials

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F10%3A00022043" target="_blank" >RIV/60461373:22340/10:00022043 - isvavai.cz</a>

  • Alternative codes found

    RIV/60461373:22340/10:00023559

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The classification and the computation of the zeros of quaternionic, two-sided polynomials

  • Original language description

    We consider quaternionic polynomials whose coefficients are located at both sides of the powers. We show that there are five classes of zeros defined by the rank of a certain real 4x4 matrix. This information can be used to find all zeros in the same class if only one zero in that class is known.

  • 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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Numerische Mathematik (print version)

  • ISSN

    0029-599X

  • e-ISSN

  • Volume of the periodical

    115

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

  • UT code for WoS article

    000273023600090

  • EID of the result in the Scopus database