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Givens' reduction of quaternion-valued matrices to upper Hessenberg form

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F04%3A00011088" target="_blank" >RIV/60461373:22340/04:00011088 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Givens' reduction of quaternion-valued matrices to upper Hessenberg form

  • Original language description

    The number of real operations necessary to reduce a quaternion-valuedmatrix into a similar upper Hessenberg matrix by making use of quaternion-valued Givens' transformation matrices is relatively large. Two possibilities of how to reduce the columns of aquaternion-valued matrix more effectively are presented.

  • Czech name

    Givensova redukce matic s kvaternionovými hodnotami na horní Hessenbergův tvar

  • Czech description

    Počet operací nutných k redukci matice s kvaternionovým i hodnotami na matici podobnou horní Hessenbergově matici pomocí Givensovy transformační maitice s katernionovými hodnotami je relativně velký. jsou ukázány dvě možnosti jak redukovat efektivněji počet sloupců ve matici s kvaternionovými hodnotami

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F02%2F0844" target="_blank" >GA201/02/0844: Methods of numerical analysis and algorithms in nonlinear dynamics of chemical and biological systems</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Numerical Mathematics and Advanced Applications, ENUMATH

  • ISBN

    3-540-21460-7

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    510-520

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    Česko

  • Event date

    Jan 1, 2004

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article