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Gerschgorin—Rayleigh inequality for the eigenvalues of hermitian matrices

✍ Scribed by Anderson, Ned; Best, Gilbert G.

Book ID
120507758
Publisher
Taylor and Francis Group
Year
1978
Tongue
English
Weight
161 KB
Volume
6
Category
Article
ISSN
0308-1087

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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.