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Generalization of Flanders’ theorem to matrix triples

✍ Scribed by J Gelonch; C.R Johnson


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
261 KB
Volume
380
Category
Article
ISSN
0024-3795

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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