Geodesic
Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions
Electronic transactions on numerical analysis, Tome 20 (2005), pp. 1-26
In a previous paper we investigated Givens transformations applied to quaternion valued matrices.
Classification : 11R52, 12E15, 15A66, 65F30, 70Exx
Keywords: fast givens rotation, quaternions, quaternion valued matrices, hessenberg form for quaternion valued matrices, roots of quaternions 
@article{ETNA_2005__20__a15,
     author = {Janovsk\'a,  Drahoslava and Opfer,  Gerhard},
     title = {Fast {Givens} transformation for quaternion valued matrices applied to {Hessenberg} reductions},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--26},
     year = {2005},
     volume = {20},
     zbl = {1078.65033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__20__a15/}
}
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Janovská,  Drahoslava; Opfer,  Gerhard. Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions. Electronic transactions on numerical analysis, Tome 20 (2005), pp. 1-26. http://geodesic.mathdoc.fr/item/ETNA_2005__20__a15/