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Inertia characteristics of self-adjoint matrix polynomials

✍ Scribed by P. Lancaster; M. Tismenetsky


Book ID
107824946
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
948 KB
Volume
52-53
Category
Article
ISSN
0024-3795

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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