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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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DOI

10.1007/bf02881372

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1573-9376

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Localization of eigenvalues of polynomial matrices

Authors: A G Mazko
Publish Date: 2011/01/27
Volume: 62, Issue: 8, Pages: 1234-1250
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Abstract

We consider the problem of localization of eigenvalues of polynomial matrices We propose sufficient conditions for the spectrum of a regular matrix polynomial to belong to a broad class of domains bounded by algebraic curves These conditions generalize the known method for the localization of the spectrum of polynomial matrices based on the solution of linear matrix inequalities We also develop a method for the localization of eigenvalues of a parametric family of matrix polynomials in the form of a system of linear matrix inequalities

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  1. Groups with the Same Prime Graph as the Simple Group D n (5)
  2. On the Sum of Narrow and Finite-Rank Orthogonally Additive Operators
  3. Investigation of one convective Stefan problem by the Ritz method
  4. Generalized Twisted Kloosterman Sum Over ℤ [ i ]
  5. On generalization of ⊕-cofinitely supplemented modules
  6. Characterization of $ {\mathbb{A}_{16}} $ by a noncommuting graph
  7. Construction of continuous cocycles for the bicrossed product of locally compact groups
  8. Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L 0
  9. Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs
  10. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
  11. Normally solvable operator equations in a Banach space
  12. On the Estimation of Strong Means of Fourier Series
  13. Generalizations of ⊕ -supplemented modules
  14. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations
  15. On the Optimal Recovery of Integrals of Set-Valued Functions
  16. On the theory of $ \mathcal{P}\mathcal{T} $-symmetric operators
  17. 2-Simple ore domains of stable rank 1
  18. Averaging of Impulsive Differential Inclusions with Fuzzy Right-Hand Sides
  19. On some qualitative properties of monotone linear extensions of dynamical systems
  20. Homotopic types of right stabilizers and orbits of smooth functions on surfaces
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