Definition of Eigenvector. Meaning of Eigenvector. Synonyms of Eigenvector

Here you will find one or more explanations in English for the word Eigenvector. Also in the bottom left of the page several parts of wikipedia pages related to the word Eigenvector and, of course, Eigenvector synonyms and on the right images related to the word Eigenvector.

Definition of Eigenvector

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Meaning of Eigenvector from wikipedia

- In linear algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given...
- In linear algebra, a generalized eigenvector of an n × n {\displaystyle n\times n} matrix A {\displaystyle A} is a vector which satisfies certain criteria...
- In graph theory, eigenvector centrality (also called eigencentrality or prestige score) is a measure of the influence of a node in a connected network...
- of largest magnitude and that eigenvalue is real. The corresponding eigenvector can be chosen to have strictly positive components, and also ****erts...
- concerned with walks of length one (degree centrality) to infinite walks (eigenvector centrality). Other centrality measures, such as betweenness centrality...
- form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors. Only diagonalizable matrices can be factorized in this way. When the...
- jth eigenvector. Matrix V denotes the matrix of right eigenvectors (as opposed to left eigenvectors). In general, the matrix of right eigenvectors need...
- and a nonzero vector v {\displaystyle v} , which is a corresponding eigenvector of λ {\displaystyle \lambda } , that is, A v = λ v {\displaystyle Av=\lambda...
- there exists an ordered basis of V {\displaystyle V}  consisting of eigenvectors of T {\displaystyle T} . These definitions are equivalent: if T {\displaystyle...
- also find eigenvectors. Given an n × n square matrix A of real or complex numbers, an eigenvalue λ and its ****ociated generalized eigenvector v are a pair...