Inequalities for permanents of hermitian matrices

✍ Scribed by Dmitry Falikman

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 311 KB
• Volume: 263
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(96)00508-3

✦ Synopsis

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.