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Generalizations of the spectral theorem for matrices. II. matrix polynomials over arbitrary fields

✍ Scribed by R.E. Hartwig


Book ID
107824979
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
827 KB
Volume
61
Category
Article
ISSN
0024-3795

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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