Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain
Nuclear Physics B, 2016 We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions.
Rafael I. Nepomechie, Rodrigo A. Pimenta
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Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
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Fast and backward stable computation of the eigenvalues and eigenvectors of matrix polynomials [PDF]
, 2016 Jared L. Aurentz +4 more
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Complex modal analysis of structural vibration and acoustic radiation of plates
Journal of Low Frequency Noise, Vibration and Active ControlInhomogeneous damping distribution leads to the occurrence of complex modes of structures. Complex modes' vibration and acoustic radiation characteristics are different from real modes.
Lai Wei, Sheng Li
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Partial eigenvalue assignment problem of linear control systems using orthogonality relations [PDF]
Acta Montanistica Slovaca, 2006 The partial eigenvalue assignment is the problem of reassigning a part of the open-loop spectrum of a linear system by a feedback control, leaving the rest of the spectrum invariant.
Mohamed A. Ramadan, Ehab A. El - Sayed
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Perturbation expansions for eigenvalues and eigenvectors for a rectangular membrane subject to a restorative force [PDF]
, 1997 Joyce R. McLaughlin, Arturo Portnoy
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The affine equivariant sign covariance matrix: asymptotic behavior and efficiencies. [PDF]
We consider the affine equivariant sign covariance matrix (SCM) introduced by Visuri et al. (J. Statist. Plann. Inference 91 (2000) 557). The population SCM is shown to be proportional to the inverse of the regular covariance matrix. The eigenvectors and
Croux, Christophe, Oja, H, Ollila, E
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Eigenvalues and eigenvectors of Hilbert matrices of order 3 through 10 [PDF]
, 1967 Henry E. Fettis, James C. Caslin
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Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices
AxiomsThis study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices,
Zhaolin Jiang +3 more
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Eigenvalue repulsion and eigenvector localization in sparse non-Hermitian random matrices [PDF]
, 2019 Grace H. Zhang, David R. Nelson
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