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Peter P. Klein (1993)
Applications of Mathematics
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In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory originating from Donnelly [2] was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuile flow. In this paper the same method will be used to deal Poiseuile and Couette flow. Potter [6] has treated this case before with an approximative method.
Yan V. Fyodorov, Hans-Jürgen Sommers, Boris A. Khoruzhenko (1998)
Annales de l'I.H.P. Physique théorique
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Asch, Mark, Lebeau, Gilles (2003)
Experimental Mathematics
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M. Capitaine, C. Donati-Martin, D. Féral (2012)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we study the fluctuations of the extreme eigenvalues of a spiked finite rank deformation of a Hermitian (resp. symmetric) Wigner matrix when these eigenvalues separate from the bulk. We exhibit quite general situations that will give rise to universality or non-universality of the fluctuations, according to the delocalization or localization of the eigenvectors of the perturbation. Dealing with the particular case of a spike with multiplicity one, we also establish a necessary...
Morrison, Kent E. (1995)
The New York Journal of Mathematics [electronic only]
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S. Kouachi (2008)
Applicationes Mathematicae
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We give explicit expressions for the eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries. Our techniques are based on the theory of recurrent sequences.
Shubov, Marianna A., Wineberg, Stephen, Holt, Robert (2010)
Mathematical Problems in Engineering
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