Results 41 to 50 of about 198,875 (210)
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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MathematicsIn this paper, a Toeplitz construction method based on eigenvalues and eigenvectors is proposed to combine with traditional denoising algorithms, including fractional low-order moment (FLOM), phased fractional low-order moment (PFLOM), and correntropy ...
Junyan Cui, Wei Pan, Haipeng Wang
doaj +1 more source
Twisting singular solutions of Bethe's equations
, 2014 The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical,
Nepomechie, Rafael I., Wang, Chunguang
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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
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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Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
Bulletin of the American Mathematical Society, 2019 If $A$ is an $n \times n$ Hermitian matrix with eigenvalues $\lambda_1(A),\dots,\lambda_n(A)$ and $i,j = 1,\dots,n$, then the $j^{\mathrm{th}}$ component $v_{i,j}$ of a unit eigenvector $v_i$ associated to the eigenvalue $\lambda_i(A)$ is related to the ...
P. Denton +3 more
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Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors [PDF]
, 1998 We describe a new polynomial time quantum algorithm that uses the quantum fast Fourier transform to find eigenvalues and eigenvectors of a local Hamiltonian, and that can be applied in cases (commonly found in ab initio physics and chemistry problems ...
D. Abrams, S. Lloyd
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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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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
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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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