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
On latently real matrices and block quaternions
β Scribed by Kh. D. Ikramov
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 523 KB
- Volume
- 176
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
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
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