The extremal case of a matrix inequality
✍ Scribed by Jure Škarabot
- Book ID
- 107826341
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 314 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Consider two set systems A and B in the powerset P(n) with the property that for each A # A there exists a unique B # B such that A/B. Ahlswede and Cai proved an inequality about such systems which is a generalization of the LYM and Bolloba s inequalities. In this paper we characterize the structure
Almtraet--Lower and upper bounds on the absolute values of the eigenvalues of an n x n real symmetric matrix A are given by (trace A ,,)t/m for both negative and positive even m. (The bounds are within a factor of 2 from the eigenvalues already for m > log 2 n.) We present algorithms for computing t