A link between the Perron–Frobenius theorem and Perron’s theorem for difference equations
✍ Scribed by Mihály Pituk
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 166 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
A be an n X n complex matrix with inertia In(A) = (r(A), a(A), s(A)), and let H be an n x n hermitian matrix with inertia In(H) = (r(H), 6(H), 6(H)). Let K b e an n X n positive semidefinite matrix such that K = AH + HA\*. Suppose that 1 is the dimension of the controllability space of the pair (A,
Difierential Equations, and Its Application to the Study of the Local Behavior of Solutions of Elliptic Equations\* P. D. LAX -= ( D + K ( t ) ) u . dt In this paper we shall consider bounded perturbations. It turns out that if the norm of K ( t ) is not larger than the size of the gaps in the spec