Results 291 to 300 of about 134,115 (317)
Eigenvalue/eigenvector perturbation for time response analysis of linear uncertain systems /
, 1994 Chimpalthradi R. Ashokkumar
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Singularly Perturbed Eigenvalue Problems
SIAM Journal on Applied Mathematics, 1987This paper is concerned with eigenvalue problems of singularly perturbed linear ordinary differential equations. A common way to treat such problems is to derive an approximating eigenvalue problem by the use of matched asymptotic expansions. It is shown that under appropriate assumptions a domain in the complex plane can be identified, in which the ...
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Strong Localized Perturbations of Eigenvalue Problems
SIAM Journal on Applied Mathematics, 1993Summary: This paper considers the effect of three types of perturbations of large magnitude but small extent on a class of linear eigenvalue problems for elliptic partial differential equations in bounded or unbounded domains. The perturbations are the addition of a function of small support and large magnitude to the differential operator, the removal
Ward, Michael J., Keller, Joseph B.
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Singular perturbation of simple Steklov eigenvalues
AIP Conference Proceedings, 2012Let Io be a bounded open domain of Rn. Let νIo denote the outward unit normal to ∂Io. We assume that the Steklov problem Δu = 0 in Io, ∂u∂νIo = λu on ∂Io has a simple eigenvalue λ. Then we consider an annular domain A(e) obtained by removing from Io a small cavity of size e > 0, and we show that under proper assumptions there exists a real valued real ...
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Perturbations of isolated eigenvalues
Rendiconti del Circolo Matematico di Palermo, 2000Let \(T\) be a closed linear operator in a Banach space \(X\). Let \(\lambda\) be an isolated simple eigenvalue of \(T\) with eigenvector \(\varphi\) and eigenprojection \(E(\lambda)\). Let \(M\) be a further closed linear operator in \(X\). Assume that \((T- z)^{-1} M\in{\mathfrak B}(X)\) for some \(z\) in the resolvent set of \(T\) and let \[ (T ...
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On perturbation of a multiple eigenvalue
Russian Mathematical Surveys, 2005In this paper, the authors investigate the perturbation problem of an isolated \(n\)-fold eigenvalue of a linear operator. This problem can be reduced to a studying a one-parameter family of the form \(T(\varepsilon)=J+A(\varepsilon)\). Let \(e_0\) be an eigenvector and \(e_1, e_2,\dots,e_{n-1}\) be the associated vectors. Setting \(\alpha_0=(A'(0) e_0,
Stepin, S. A., Titov, V. A.
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Structured Eigenvalue Perturbation Theory
2015We give an overview of Volker Mehrmann’s work on structured perturbation theory of eigenvalues. In particular, we review his contributions on perturbations of structured pencils arising in control theory and of Hamiltonian matrices. We also give a brief outline of his work on structured rank one perturbations.
Shreemayee Bora, Michael Karow
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Eigenvalue perturbation models for robust control
IEEE Transactions on Automatic Control, 1995ISSN:1558 ...
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