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arXiv:0709.2466 [math.RT]AbstractReferencesReviewsResources

Littlewood's algorithm and quaternion matrices

Dennis I. Merino, Vladimir V. Sergeichuk

Published 2007-09-16Version 1

A strengthened form of Schur's triangularization theorem is given for quaternion matrices with real spectrum (for complex matrices it was given by Littlewood). Littlewood's algorithm for reducing a complex matrix to a canonical form under unitary similarity is extended to quaternion matrices whose eigenvalues have geometric multiplicity 1.

Comments: 20 pages
Journal: Linear Algebra Appl. 298 (1999) 193--208
Categories: math.RT
Subjects: 15A21
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