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arXiv · 0709.2466

Littlewood's algorithm and quaternion matrices

Dennis I. Merino·Vladimir V. Sergeichuk
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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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BibTeXRIS

Dennis I. Merino, Vladimir V. Sergeichuk. 2007-09-16. Littlewood's algorithm and quaternion matrices. https://doi.org/10.1016/s0024-3795(99)00170-6

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