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Some Theorems On Matrices With Real Quaternion Elements

Published online by Cambridge University Press:  20 November 2018

N. A. Wiegmann
N. A. Wiegmann*
Affiliation:
Catholic University, Washington, D.C.
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Matrices with real quaternion elements have been dealt with in earlier papers by Wolf (10) and Lee (4). In the former, an elementary divisor theory was developed for such matrices by using an isomorphism between n×n real quaternion matrices and 2n×2n matrices with complex elements. In the latter, further results were obtained (including, mainly, the transforming of a quaternion matrix into a triangular form under a unitary similarity transformation) by using a different isomorphism.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 191 - 201
Copyright
Copyright © Canadian Mathematical Society 1955

References

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