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Determinantal properties of generalized circulant Hadamard matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901XIK" target="_blank" >RIV/61988987:17310/18:A1901XIK - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.13001/1081-3810.3836" target="_blank" >http://dx.doi.org/10.13001/1081-3810.3836</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.13001/1081-3810.3836" target="_blank" >10.13001/1081-3810.3836</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Determinantal properties of generalized circulant Hadamard matrices

  • Original language description

    The derivation of analytical formulas for the determinant and the minors of a given matrix is in general a difficult and challenging problem. The present work is focused on calculating minors of generalized circulant Hadamard matrices. The determinantal properties are studied explicitly, and generic theorems specifying the values of all the minors for this class of matrices are derived. An application of the derived formulae to an interesting problem of numerical analysis, the growth problem, is also 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

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ELECTRON J LINEAR AL

  • ISSN

    1081-3810

  • e-ISSN

  • Volume of the periodical

    34

  • Issue of the periodical within the volume

    December 2018

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    639-651

  • UT code for WoS article

    000455908900002

  • EID of the result in the Scopus database

    2-s2.0-85061543747