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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://etna.math.kent.edu/volumes/2011-2020/vol41/
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 complex numbers, Newton's method is applied, and a simple technique for computing the exact Jacobi matrix is presented. 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 complex numbers, Newton's method is applied, and a simple technique for computing the exact Jacobi matrix is presented. (en)
Title	ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS (en)
skos:prefLabel	ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS (en)
skos:notation	RIV/60461373:22340/14:43897765!RIV15-MSM-22340___
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	June
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Janovská, Drahoslava
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola chemicko-technologická v Praze / Fakulta chemicko-inženýrská
http://linked.open...dnocenehoVysledku	57316
http://linked.open...ai/riv/idVysledku	RIV/60461373:22340/14:43897765
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Newton method; singular points for coquaternionic polynomials; companion polynomial for coquaternionic polynomials; zeros of coquaternionic polynomials (en)
http://linked.open.../riv/klicoveSlovo	Newton method companion polynomial for coquaternionic polynomials singular points for coquaternionic polynomials zeros of coquaternionic polynomials
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[FF1D45506F8A]
http://linked.open...i/riv/nazevZdroje	Electronic Transactions on Numerical Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	Vol. 41
http://linked.open...iv/tvurceVysledku	Janovská, Drahoslava Opfer, Gerhard
issn	1068-9613
number of pages	26 (xsd:int)
http://localhost/t...ganizacniJednotka	22340

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