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rdfs:seeAlso
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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)
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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)
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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)
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skos:notation
| - RIV/60461373:22340/14:43897765!RIV15-MSM-22340___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/60461373:22340/14:43897765
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Newton method; singular points for coquaternionic polynomials; companion polynomial for coquaternionic polynomials; zeros of coquaternionic polynomials (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Electronic Transactions on Numerical Analysis
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Janovská, Drahoslava
- Opfer, Gerhard
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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