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Classification of zeros of quaternionic polynomials

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F13%3A43896458" target="_blank" >RIV/60461373:22340/13:43896458 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Classification of zeros of quaternionic polynomials

  • Original language description

    Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical zeros. We will give a characterization of these types. In the two-sided polynomials the coefficients are located at both sides of the powers. We will show that in this case there are, in addition, three more classes of zeros defined by the rank of a certain real 4x4 matrix.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the Conference SNA13, Seminar on Numerical Analysis: Modelling and Simulation of Challenging Engineering Problems

  • ISBN

    978-80-86407-34-0

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    69-73

  • Publisher name

    Ústav geoniky AV ČR, v.v.i.

  • Place of publication

    Ostrava

  • Event location

    Rožnov pod Radhoštěm

  • Event date

    Jan 21, 2013

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article