Decompositions of Quaternions and Their Matrix Equivalents

Since quaternions have isomorphic representations in matrix form we investigate various well known matrix decompositions for quaternions.

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Bibliographic Details
Published inMatrix Methods: Theory, Algorithms And Applications pp. 20 - 30
Main Authors Janovská, Drahoslava, Opfer, Gerhard
Format Book Chapter
LanguageEnglish
Published WORLD SCIENTIFIC 01.04.2010
Subjects
Algebra and Matrices
polar
SVD
QR
decompositions of quaternions
Schur
LU
Jordan
Online AccessGet full text
ISBN9812836020
9789812836014
9812836012
9814469556
9789812836021
9789814469555
DOI10.1142/9789812836021_0002

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Abstract Since quaternions have isomorphic representations in matrix form we investigate various well known matrix decompositions for quaternions.
AbstractList Since quaternions have isomorphic representations in matrix form we investigate various well known matrix decompositions for quaternions.
Author Janovská, Drahoslava
Opfer, Gerhard
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  organization: Institute of Chemical Technology, Prague, Department of Mathematics, Technickcá 5, 166 28 Prague 6
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  givenname: Gerhard
  surname: Opfer
  fullname: Opfer, Gerhard
  email: opfer@math.uni-hamburg.de
  organization: University of Hamburg, Faculty for Mathematics, Informatics, and Natural Sciences [MIN], Bundestraße 55, 20146 Hamburg
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Editor Olshevsky, Vadim
Tyrtyshnikov, Eugene
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  organization: Russian Academy of Sciences
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Keywords polar
SVD
QR
decompositions of quaternions
Schur
LU
Jordan
Language English
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Snippet Since quaternions have isomorphic representations in matrix form we investigate various well known matrix decompositions for quaternions.
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SubjectTerms Algebra and Matrices
Title Decompositions of Quaternions and Their Matrix Equivalents
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