The Relation Between the Companion Matrix and the Companion Polynomial in R-4 Algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F18%3A43915523" target="_blank" >RIV/60461373:22340/18:43915523 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00006-018-0892-5" target="_blank" >https://link.springer.com/article/10.1007/s00006-018-0892-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-018-0892-5" target="_blank" >10.1007/s00006-018-0892-5</a>
Alternative languages
Result language
angličtina
Original language name
The Relation Between the Companion Matrix and the Companion Polynomial in R-4 Algebras
Original language description
We prove that the quaternionic companion polynomial is identical with the characteristic polynomial of the complex matrix which is obtained by isomorphism from the quaternionic companion matrix. And we show that this is also true for the other three noncommutative algebras in which include the coquaternions.
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
10102 - Applied mathematics
Result continuities
Project
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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
Advances in Applied Clifford Algebras
ISSN
0188-7009
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
16
Pages from-to
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UT code for WoS article
000440079500001
EID of the result in the Scopus database
2-s2.0-85051118245