ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F14%3A43897765" target="_blank" >RIV/60461373:22340/14:43897765 - isvavai.cz</a>
Result on the web
<a href="http://etna.math.kent.edu/volumes/2011-2020/vol41/" target="_blank" >http://etna.math.kent.edu/volumes/2011-2020/vol41/</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS
Original language description
For finding the zeros of a coquaternionic polynomial p of degree n, the concept of a (real) companion polynomial q of degree 2n, is applied. If z0 is a root of q, then, based on z0, there is a simple formula for an element z with the property that (p(z))*p(z) = 0, thus z is a singular point of p. Under certain conditions, the same z has the property that p(z) = 0, thus z is a zero of p. There is an algorithm for finding zeros and singular points of p.. For finding zeros which are not similar to complexnumbers, Newton's method is applied, and a simple technique for computing the exact Jacobi matrix is presented.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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