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Probability of all eigenvalues real for products of standard Gaussian matrices

✍ Scribed by Forrester, Peter J


Book ID
127281197
Publisher
IOP Publishing
Year
2014
Tongue
English
Weight
224 KB
Volume
47
Category
Article
ISSN
1751-8113

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✍ J.L. Wu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 208 KB

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