Matrices, idealisers and integer quaternions
โ Scribed by A.W. Chatters
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 471 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
A strengthened form of Schur's triangularization theorem is given for quaternion matrices with real spectrum (for complex matrices it was given by Littlewood). It is used to classify projectors (A 2 = A) and self-annihilating operators (A 2 = 0) on a quaternion unitary space and examples of unitaril
Determinants of matrices over a field are multiplicative. Does there exist an extension of the definition of determinants of real matrices to quaternion matrices, such that the multiplication theorem holds? This paper proves there does not exist such an extension. We give a universal property on mul
In this paper, the concept of generalized spherical neighborhood on the real quaternion field is introduced. Then, Schwartz' s inequality and the Gerschgorin's theorem are proved on the real quaternion field and the problems of the distribution and estimation of real quaternion matrix eigenvalues ar