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Representation theorems and inequalities for Hermitian matrices

✍ Scribed by Bellman, Richard

Book ID
121743059
Publisher
Duke University Press
Year
1959
Tongue
English
Weight
430 KB
Volume
26
Category
Article
ISSN
0012-7094

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For given integers n i, n 2 ~ 1, we consider two hermitian matrices of order n --n 1 +ng., written in block form: where every matrix X~j has dimension n, X nj, 1 < i, j < 2. It is proved that if A u > B u > 0, Az~ > B~ > 0, then per A > per B > 0.