Geodesic
Computing quaternionic roots by Newton's method
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 82-102.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Newton's method for finding zeros is formally adapted to finding roots of Hamilton's quaternions.
Classification : 11R52, 12E15, 30G35, 65D15
Keywords: roots of quaternions, Newton's method applied to finding roots of quaternions 
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     author = {Janovsk\'a, Drahoslava and Opfer, Gerhard},
     title = {Computing quaternionic roots by {Newton's} method},
     journal = {Electronic transactions on numerical analysis},
     pages = {82--102},
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     volume = {26},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a21/}
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Janovská, Drahoslava; Opfer, Gerhard. Computing quaternionic roots by Newton's method. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 82-102. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a21/