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A generalization of the katona theorem for crosst-intersecting families

✍ Scribed by Makoto Matsumoto; Norihide Tokushige


Publisher
Springer Japan
Year
1989
Tongue
English
Weight
622 KB
Volume
5
Category
Article
ISSN
0911-0119

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A generalization of the inertia theorem
✍ BΓΌlent Bilir; Carmen Chicone πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 663 KB

We show that the inertia of a quadratic matrix polynomial is determined in terms of the inertia of its coefficient matrices if the leading coefficient is Hermitian and nonsingular, the constant term is Hermitian, and the real part of the coefficient matrix of the first degree term is definite. In pa