Results 11 to 20 of about 243,973 (317)
Convergence of Eigenvector Continuation [PDF]
Physical Review Letters, 2021 Eigenvector continuation is a computational method that finds the extremal eigenvalues and eigenvectors of a Hamiltonian matrix with one or more control parameters. It does this by projection onto a subspace of eigenvectors corresponding to selected training values of the control parameters.
Avik Sarkar, Dean Lee
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Eigenvectors of Permutation Matrices [PDF]
Advances in Pure Mathematics, 2015 The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polynomial, and a set of linearly independent eigenvectors from the decomposition in disjoint cycles of the permutation ...
García Planas, María Isabel +1 more
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Mathematics, 2021 We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result.
Pierluigi Benevieri +3 more
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A finite set of equilibria for the indeterminacy of linear rational expectations models [PDF]
, 2014 This paper demonstrates the existence of a finite set of equilibria in the case of the indeterminacy of linear rational expectations models. The number of equilibria corresponds to the number of ways to select n eigenvectors among a larger set of ...
Chatelain, Jean-Bernard, Ralf, Kirsten
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Dynamics of a Flexible Roof Test Model under Ambient Vibrations Measurements
Applied Sciences, 2023 Flexible roofs are sensitive to wind actions because they are light, and their deformability can induce local or global instability. In most cases, their design requires experimental wind tunnel testing to investigate the aeroelastic phenomena and the ...
Fabio Rizzo +7 more
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Eigenvector localization in the heavy-tailed random conductance model [PDF]
, 2018 We generalize our former localization result about the principal Dirichlet eigenvector of the i.i.d. heavy-tailed random conductance Laplacian to the first $k$ eigenvectors. We overcome the complication that the higher eigenvectors have fluctuating signs
Flegel, Franziska
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Stochastic differential equations for random matrices processes in the nonlinear framework [PDF]
Opuscula Mathematica, 2018 In this paper, we investigate the processes of eigenvalues and eigenvectors of a symmetric matrix valued process \(X_{t}\), where \(X_{t}\) is the solution of a general SDE driven by a \(G\)-Brownian motion matrix.
Sara Stihi +2 more
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Eigenvectors and Reconstruction [PDF]
The Electronic Journal of Combinatorics, 2007 In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
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Properties and Applications of a Symmetric Toeplitz Matrix Generated by
IEEE Access, 2023 Utilizing derivations for the properties of a symmetric Toeplitz matrix, we obtain analytical expressions for the performance evaluation of wireless communication systems using multiple antennas at the transmitter and/or the receiver, including those for
Ranjan K. Mallik, Ross Murch
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Explicit Hermite-type eigenvectors of the discrete Fourier transform [PDF]
, 2015 The search for a canonical set of eigenvectors of the discrete Fourier transform has been ongoing for more than three decades. The goal is to find an orthogonal basis of eigenvectors which would approximate Hermite functions -- the eigenfunctions of the ...
Kuznetsov, Alexey
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