Results 1 to 10 of about 178,756 (227)
A diffusive matrix model for invariant $\beta$-ensembles [PDF]
, 2012 We define a new diffusive matrix model converging towards the $\beta$-Dyson Brownian motion for all $\beta\in [0,2]$ that provides an explicit construction of $\beta$-ensembles of random matrices that is invariant under the orthogonal/unitary group.
Allez, Romain, Guionnet, Alice
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On Differentiating Eigenvalues and Eigenvectors [PDF]
Econometric Theory, 1985 Let X0 be a square matrix (complex or otherwise) and u0 a (normalized) eigenvector associated with an eigenvalue λo of X0, so that the triple (X0, u0, λ0) satisfies the equations Xu = λu, . We investigate the conditions under which unique differentiable functions λ(X) and u(X) exist in a neighborhood of X0 satisfying λ(X0) = λO, u(X0) = u0, Xu = λu ...
openaire +4 more sources
Fast and accurate con-eigenvalue algorithm for optimal rational approximations [PDF]
, 2012 The need to compute small con-eigenvalues and the associated con-eigenvectors of positive-definite Cauchy matrices naturally arises when constructing rational approximations with a (near) optimally small $L^{\infty}$ error. Specifically, given a rational
Beylkin, G., Haut, T. S.
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Recursive solutions for Laplacian spectra and eigenvectors of a class of growing treelike networks
, 2009 The complete knowledge of Laplacian eigenvalues and eigenvectors of complex networks plays an outstanding role in understanding various dynamical processes running on them; however, determining analytically Laplacian eigenvalues and eigenvectors is a ...
B. Bollobás +8 more
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Zeeman Spectroscopy of the Star Algebra [PDF]
, 2002 We solve the problem of finding all eigenvalues and eigenvectors of the Neumann matrix of the matter sector of open bosonic string field theory, including the zero modes, and switching on a background B-field. We give the discrete eigenvalues as roots of
B. Feng +16 more
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The Number of Eigenvalues of a Tensor
, 2010 Eigenvectors of tensors, as studied recently in numerical multilinear algebra, correspond to fixed points of self-maps of a projective space. We determine the number of eigenvectors and eigenvalues of a generic tensor, and we show that the number of ...
Bedford +11 more
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Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
core +3 more sources
Spectral Convergence of the connection Laplacian from random samples
, 2015 Spectral methods that are based on eigenvectors and eigenvalues of discrete graph Laplacians, such as Diffusion Maps and Laplacian Eigenmaps are often used for manifold learning and non-linear dimensionality reduction.
Singer, Amit, Wu, Hau-tieng
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Oving Eigenvalues and Eigenvectors [PDF]
, 1971 The Office of Naval Research Department Of The Navy Contract No. N 00014-67-A-0305-0010 ; Project No.
Harris, J.F., Robinson, A.R.
core
How can we naturally order and organize graph Laplacian eigenvectors?
, 2018 When attempting to develop wavelet transforms for graphs and networks, some researchers have used graph Laplacian eigenvalues and eigenvectors in place of the frequencies and complex exponentials in the Fourier theory for regular lattices in the ...
Saito, Naoki
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