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A GENERALIZATION OF FINSLER'S THEOREM FOR QUADRATIC INEQUALITIES AND EQUALITIES

✍ Scribed by Jacobson, D. H.

Book ID
118048198
Publisher
Taylor and Francis Group
Year
1976
Tongue
English
Weight
269 KB
Volume
1
Category
Article
ISSN
1607-3606

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A generalization of the inertia theorem
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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