Results 311 to 320 of about 808,768 (351)

Perturbations of isolated eigenvalues [PDF]

Rendiconti del Circolo Matematico di Palermo, 2000
In this paper, we generalize the result given by A. A. Dezin in [1] to the case of operators defined on a Banach space, under slightly different hypothesis. In the first part we consider perturbations of isolated simple eigenvalues, and in the second part we deal with perturbations of isolated multiple eigenvalues.
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Perturbation of eigenvalues embedded at a threshold

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002
Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.
Jensen, Arne, Melgaard, Michael
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Optimal networks of nature reserves can be found through eigenvalue perturbation theory of the connectivity matrix.

Ecological Applications, 2011
Conservation and management of natural resources and biodiversity need improved criteria to select functional networks of protected areas. The connectivity within networks due to dispersal is rarely considered, partly because it is unclear how ...
M. N. Jacobi, P. Jonsson
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Superfast Divide-and-Conquer Method and Perturbation Analysis for Structured Eigenvalue Solutions

SIAM Journal on Scientific Computing, 2016
We present a superfast divide-and-conquer method for finding all the eigenvalues as well as all the eigenvectors (in a structured form) of a class of symmetric matrices with off-diagonal ranks or n...
James Vogel, J. Xia, S. Cauley, V. Balakrishnan   +3 more
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An Eigenvalue Perturbation Approach to Stability Analysis, Part I: Eigenvalue Series of Matrix Operators

SIAM Journal of Control and Optimization, 2010
This two-part paper is concerned with stability analysis of linear systems subject to parameter variations, of which linear time-invariant delay systems are of particular interest.
Jie Chen, Peilin Fu, S. Niculescu, Zhiho Guan   +3 more
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On the perturbation of eigenvalues for the -Laplacian

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001
Abstract In this Note the differentiability with respect to the domain of the first Dirichlet eigenvalue of the minus p -Laplacian is shown for the first time. An explicit formula for the first variation is obtained. The proof, based on the variational formulation and C 1,α -type estimates, even simplifies the corresponding to the ...
José C. Sabina de Lis, Jorge José García Melián   +1 more
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On Perturbation of Embedded Eigenvalues [PDF]

, 1996
It is well known that in a proper setup eigenvalues which belong to the discrete spectrum are stable. This property is the basis of the perturbation theory for such eigenvalues. On the other hand, the behavior of eigenvalues which are embedded in the continuous spectrum is completely different. Such eigenvalues may be very unstable under perturbations.
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Parametric history analysis of resonance problems via step-by-step eigenvalue perturbation technique

, 2010
The Galerkin procedure to solve Maxwell's equations associated with a perturbed system approximately, yields a generalised eigenvalue perturbation problem.
S. Gunel, E. Y. Zoral
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The algebraic eigenvalue problem

, 1966
Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods ...
J. H. Wilkinson
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Large orders and summability of eigenvalue perturbation theory: A mathematical overview

, 1982
The study of large orders of perturbation theory in various problems is reviewed: the anharmonic oscillator, the Zeeman and Stark problems, double wells, and the like. Pade and Borel summability and path integral ideas are discussed. The rigorous results
B. Simon
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