Results 241 to 250 of about 197,953 (292)

Task-related differences in network connectivity and dynamics in people with severe opioid use disorder compared with healthy controls. [PDF]

open access: yesTransl Psychiatry
Kurtin DL   +8 more
europepmc   +1 more source

Three Hypergraph Eigenvector Centralities

open access: yesSIAM Journal on Mathematics of Data Science, 2019
Eigenvector centrality is a standard network analysis tool for determining the importance of (or ranking of) entities in a connected system that is represented by a graph. However, many complex systems and datasets have natural multi-way interactions that are more faithfully modeled by a hypergraph.
Austin R Benson
exaly   +4 more sources
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On Eigenvector Bounds

BIT Numerical Mathematics, 2003
The authors investigate the conditions under which it is possible to estimate and compute error bounds on a computed eigenvector of a finite matrix. It is shown that nontrivial error bounds on an eigenvector are computable if and only if its geometric multiplicity is one. They also provide an algorithm for the computation of these error bounds and show
Rump, Siegfried M., Zemke, Jens-Peter M.
openaire   +1 more source

Extended eigenvalue–eigenvector method

Statistics & Probability Letters, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kataria, K. K., Khandakar, M.
openaire   +2 more sources

Eigenvalues and eigenvectors

2007
Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
openaire   +1 more source

Eigenvector radiosity

2009
Radiative flux transfer between Lambertian surfaces can be described in terms of linear resistive networks with voltage sources. This thesis examines how these "radiative transfer networks" provide a physical interpretation for the eigenvalues and eigenvectors of form factor matrices. This leads to a novel approach to photorealistic image synthesis and
openaire   +1 more source

Eigenvectors and Eigenvalues

1997
Gaussian elimination plays a fundamental role in solving a system Ax = b of linear equations. In order to solve a system of linear equations, Gaussian elimination reduces the augmented matrix to a (reduced) row-echelon form by using elementary row operations that preserve row and null spaces.
Jin Ho Kwak, Sungpyo Hong
openaire   +1 more source

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