Výsledky vyhledávání - numerical computation of eigenvalues and eigenvectors

Convergence theory of exact interpolation scheme for computing several eigenvectors Autor Pultarova, I

“…Summary An asymptotic convergence analysis of a new multilevel method for numerical solution of eigenvalues and eigenvectors of symmetric and positive definite matrices is performed…”
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Constructive Analysis of Eigenvalue Problems in Control under Numerical Uncertainty Autor Osinenko, Pavel, Devadze, Grigory, Streif, Stefan

“… In particular, many matrix decompositions rely upon computation of eigenvalue-eigenvector pairs, such as diagonal or Jordan normal forms…”
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Spectral refinement for clustered eigenvalues of quasi-diagonal matrices Autor Ahues, Mario, d’Almeida, Filomena Dias, Largillier, Alain, Vasconcelos, Paulo B.

“…We extend to a general situation the method for the numerical computation of eigenvalues and eigenvectors of a quasi-diagonal matrix, which is based on a perturbed fixed slope Newton iteration…”
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Connected and automated vehicle platoon formation control via differential games Autor Jond, Hossein B., Yıldız, Aykut

“…In this study, the connected and automated vehicles platooning problem is resolved under a differential game framework. Three information topologies are…”
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Connected and Automated Vehicle Platoon Formation Control via Differential Games Autor Jond, Hossein B, Yıldız, Aykut

“…In this study, the connected and automated vehicles (CAVs) platooning problem is resolved under a differential game framework. Three information topologies are…”
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Spectral characterizations and integer powers of tridiagonal 2-Toeplitz matrices Autor Shams Solary, Maryam, Serra-Capizzano, Stefano

“… In connection with the above findings, we provide a characterization of the eigenvalues and eigenvectors of real tridiagonal 2-Toeplitz matrices B n of even order, that can be turned into a numerical…”
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Spectral refinement on quasi-diagonal matrices Autor Ahues, Mario, Largillier, Alain, d’Almeida, Filomena Dias, Vasconcelos, Paulo B.

“…In several applications needing the numerical computation of eigenvalues and eigenvectors we deal with strongly quasi-diagonal matrices…”
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Eigenvalue and eigenvector computation for discrete and continuous structures composed of viscoelastic materials Autor Singh, Kumar Vikram

“… An accurate computation of eigenvalues (natural frequencies) and eigenvectors (mode shapes) is essential for control, design sensitivities, and optimization studies…”
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Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters Autor Mailybaev, Alexei A.

“…The paper develops Newton's method of finding multiple eigenvalues with one Jordan block and corresponding generalized eigenvectors for matrices dependent on parameters…”
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Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh–Ritz procedure for generalized Hermitian eigenvalue problems Autor Imakura, Akira, Morikuni, Keiichi, Takayasu, Akitoshi

“…We propose a verified computation method for eigenvalues in a region and the corresponding eigenvectors of generalized Hermitian eigenvalue problems…”
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Efficient analytical implementation of the DOT Riemann solver for the de Saint Venant–Exner morphodynamic model Autor Carraro, F., Valiani, A., Caleffi, V.

“…) scheme for non-conservative problems. The DOT path-conservative scheme is a robust upwind method based on a complete Riemann solver, but it has the drawback of requiring expensive numerical…”
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The generalized trust region subproblem: solution complexity and convex hull results Autor Wang, Alex L., Kılınç-Karzan, Fatma

“… Our first main contribution is structural: we give an explicit description of the convex hull of this nonconvex set in terms of the generalized eigenvalues of an associated matrix pencil…”
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A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection Autor Chen, Zhongyuan, Sun, Jiguang, Xia, Jianlin

“…We propose a robust randomized indicator method for the reliable detection of eigenvalue existence within an interval for symmetric matrices…”
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Exact sampling of determinantal point processes without eigendecomposition Autor Launay, Claire, Galerne, Bruno, Desolneux, Agnès

“… Here we present an alternative exact algorithm to sample in discrete spaces that avoids the eigenvalues and the eigenvectors computation…”
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A new method for computation of eigenvector derivatives with distinct and repeated eigenvalues in structural dynamic analysis Autor Li, Zhengguang, Lai, Siu-Kai, Wu, Baisheng

“… Determining eigenvector derivatives is a challenging task due to the singularity of the coefficient matrices of the governing equations, especially for those structural dynamic systems with repeated eigenvalues…”
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Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems Autor Theodoulidis, Theodoros, Skarlatos, Anastassios, Tytko, Grzegorz

“… The computation of the complex eigenvalue spectrum must be very accurate since losing or misplacing one of the thereto linked modes will have an important impact on the field solution…”
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Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding Autor He, Haoze, Kressner, Daniel, Plestenjak, Bor

“… We propose and analyze a simple approach that computes eigenvalues as one-sided or two-sided Rayleigh quotients from eigenvectors of a random linear combination of the matrices in the family. We provide some analysis and numerous numerical examples, showing that such randomized approaches can compute semisimple joint eigenvalues accurately and lead to improved performance of existing solvers…”
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Error control for $$hp$$ -adaptive approximations of semi-definite eigenvalue problems Autor Giani, Stefano, Grubišić, Luka, Ovall, Jeffrey S.

“… ...-posteriori error estimates for ...-adaptive finite element approximations of semi-definite eigenvalue/eigenvector problems…”
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Random matrices: Universality of local eigenvalue statistics Autor Tao, Terence, Vu, Van

“…In this paper, we consider the universality of the local eigenvalue statistics of random matrices…”
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Updating large models for mechanical systems using incomplete modal measurement Autor Yuen, Ka-Veng

“… It does not require computation of the complete set of eigenvalues and eigenvectors of the nominal model…”
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