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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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