Results 21 to 30 of about 175,993 (310)

WEIGHTED LAPLACIANS OF GRIDS AND THEIR APPLICATION FOR INSPECTION OF SPECTRAL GRAPH CLUSTERING METHODS

open access: yesTASK Quarterly, 2021
This paper investigates the relationship between various types of spectral clustering methods and their kinship to relaxed versions of graph cut methods.
MIECZYSŁAW KŁOPOTEK   +2 more
doaj   +1 more source

A note on the eigensystem of the covariance matrix of dichotomous Guttman items

open access: yesFrontiers in Psychology, 2015
We consider the sample covariance matrix for dichotomous Guttman items under a set of uniformity conditions, and obtain closed-form expressions for the eigenvalues and eigenvectors of the matrix.
Clintin P Davis-Stober   +2 more
doaj   +1 more source

Simple eigenvectors of unbounded operators of the type “normal plus compact” [PDF]

open access: yesOpuscula Mathematica, 2015
The paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent.
Michael Gil'
doaj   +1 more source

Exceptional Points in a Non-Markovian Anti-Parity-Time Symmetric System

open access: yesPhotonics, 2023
By studying the eigenvalues and eigenvectors of a non-Markovian anti parity-time (APT) symmetric system, we investigate the possibility of exceptional points (EPs) that may arise within it.
Andrew Wilkey   +2 more
doaj   +1 more source

On the asymptotics of a Robin eigenvalue problem [PDF]

open access: yes, 2013
The considered Robin problem can formally be seen as a small perturbation of a Dirichlet problem. However, due to the sign of the impedance value, its associated eigenvalues converge point-wise to $-\infty$ as the perturbation goes to zero. We prove that
Cakoni, Fioralba   +2 more
core   +6 more sources

Star Algebra Spectroscopy [PDF]

open access: yes, 2001
The spectrum of the infinite dimensional Neumann matrices M^{11}, M^{12} and M^{21} in the oscillator construction of the three-string vertex determines key properties of the star product and of wedge and sliver states.
Ashoke Sen   +21 more
core   +2 more sources

A graph discretization of the Laplace-Beltrami operator [PDF]

open access: yes, 2014
We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.Comment: 29 ...
Burago, Dmitri   +2 more
core   +3 more sources

A teaching proposal for the study of Eigenvectors and Eigenvalues

open access: yesJournal of Technology and Science Education, 2017
In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues.
María José Beltrán Meneu   +2 more
doaj   +1 more source

On Eigenvalues and Eigenvectors of Perturbed Pairwise Comparison Matrices

open access: yesJournal of Mathematical and Fundamental Sciences, 2013
This work studied eigenvalues and eigenvectors of a class of perturbed pairwise comparison matrices (PCMs). This type of matrices arises from Analytical Hierarchical Process with inconsistency comparison. By employing some nice structures of the PCMs, we
Pudji Astuti, Agah D. Garnadi
doaj   +1 more source

Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]

open access: yesOpuscula Mathematica, 2007
We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
doaj  

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