Littlewood's algorithm and quaternion matrices

Details Littlewood's algorithm and quaternion matrices Littlewood's algorithm and quaternion matrices

2007-09-16

arxiv.org/abs/0709.2466v1

Linear Algebra Appl. 298 (1999) 193--208

Mathematics

Representation Theory

20 pages

Scientific paper

10.1016/S0024-3795(99)00170-6

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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