Fixing two eigenvalues by a minimal perturbation
Linear Algebra and its Applications, 2005 AbstractThe optimal perturbation, ΔM, to a matrix, M, such that M−ΔM has a given eigenvalue λ0 is given by the Eckart–Young theorem. This perturbation is optimal in the sense that ∥ΔM∥2 is minimal. In this article, we present a generalization, finding ∥ΔM∥2 optimal perturbations of M such that M−ΔM has two of given eigenvalues.
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An algorithm for the eigenvalue perturbation problem [PDF]
, 2000 Claude-Pierre Jeannerod
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Perturbation theory of multiparameter eigenvalue problems
Journal of Mathematical Analysis and Applications, 1988 AbstractWe investigate the multiparameter eigenvalue problem in the case where some of the operators depend holomorphically on a perturbation parameter. The behaviour of eigenvalues of finite multiplicity, together with the associated eigenvectors, is considered as the perturbation parameter is varied.
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A Singular-Perturbation Analysis of the Burning-Rate Eigenvalue for a Two-Temperature Model of Deflagrations in Confined Porous Energetic Materials [PDF]
, 2001 Stephen B. Margolis, M.R. Baer
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Finite and continuous perturbations of matrix eigenvalues
Applied Mathematics Letters, 1998 AbstractAn elementary proof is given that some well-known formulae for derivatives of eigenvalues of matrix-valued functions hold under weaker hypotheses than are required by the usual proofs. The relationship between continuous and finite perturbations is also discussed.
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Three nontrivial solutions for Neumann problems resonant at any positive eigenvalue
Le Matematiche, 2010 We consider a semilinear Neumann problem with a parametric reaction which has a concave term and a perturbation which at ±∞ can be resonant with respect to any positive eigenvalue.
Sophia Th. Kyritsi +1 more
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Accurate modal perturbation in non‐self‐adjoint eigenvalue problem [PDF]
, 2001 X. L. Liu
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Perturbation in eigenvalues of a symmetric tridiagonal matrix
Linear Algebra and its Applications, 2005 AbstractWe study the eigenvalue perturbations of an n×n real unreduced symmetric tridiagonal matrix T when one of the off-diagonal element is replaced by zero. We provide both the lower and upper perturbation bounds for every eigenvalue of T. The bounds are described by the jth off-diagonal element (the one that is replaced), and the eigenvalues and ...
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An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain [PDF]
, 2002 Pier Domenico Lamberti +1 more
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Dominant eigenvalues under trace-preserving diagonal perturbations
, 1994 Charles R. Johnson +3 more
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