Definition of Eigenvector. Meaning of Eigenvector. Synonyms of Eigenvector

- In linear algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given...
- jth eigenvector. Matrix V denotes the matrix of right eigenvectors (as opposed to left eigenvectors). In general, the matrix of right eigenvectors need...
- of largest magnitude and that eigenvalue is real. The corresponding eigenvector can be chosen to have strictly positive components, and also ****erts...
- 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...
- form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors. Only diagonalizable matrices can be factorized in this way. When the...
- 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...
- there exists an ordered basis of V {\displaystyle V}  consisting of eigenvectors of T {\displaystyle T} . These definitions are equivalent: if T {\displaystyle...
- concerned with walks of length one (degree centrality) to infinite walks (eigenvector centrality). Other centrality measures, such as betweenness centrality...
- it is enough to apply it to the case when x = y is an eigenvector. (Recall that an eigenvector of a linear map A is a non-zero vector v such that A v...