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Trace inequalities for logarithms and powers of -Hermitian matrices

✍ Scribed by N. Bebiano; R. Lemos; J. da Providência; G. Soares

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
176 KB
Volume
432
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

Inequalities for permanents of hermitian
Inequalities for permanents of hermitian matrices
✍ Dmitry Falikman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 311 KB

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.