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Inequalities involving Khatri-Rao products of Hermitian matrices

✍ Scribed by Yang, Zhong-peng ;Zhang, Xian ;Cao, Chong-guang


Publisher
Springer-Verlag
Year
2002
Tongue
English
Weight
121 KB
Volume
9
Category
Article
ISSN
1226-0061

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Inequalities for permanents of hermitian
✍ Dmitry Falikman πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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.