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On Unitary and Symmetric 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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1. Introduction. In general when symmetric matrices are considered, the elements of the matrix are taken at least in a principal ideal ring. It is interesting to determine what can be attained when the elements are not, in general, commutative and, to this end, the following is concerned with symmetric matrices with elements in the non-commutative field of real quaternions. At the same time some properties of real quaternion unitary matrices are obtained which involve symmetric matrices.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 32 - 39
Copyright
Copyright © Canadian Mathematical Society 1956

References

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