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Littlewood's algorithm and quaternion matrices

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Published Article
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DOI: 10.1016/S0024-3795(99)00170-6
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arXiv
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Abstract

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.

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