eigenvalue

Noun

Meaning

(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant

Source: WordNet

Synonyms

proper value characteristic root of a square matrix eigenvalue of a matrix eigenvalue of a square matrix characteristic root characteristic value eigenroot latent value

Hypernyms

value

Examples

Assuming that the matrix W is a primitive matrix ( irreducible and aperiodic ), then after very many generations only the eigenvector with the largest eigenvalue will prevail, and it is this quasispecies that will eventually dominate. Source: Internet

And the eigenvectors corresponding to these eigenvalues are: : Only the eigenvalue is more than unity. Source: Internet

Each eigenstate of an observable corresponds to an eigenvector of the operator, and the associated eigenvalue corresponds to the value of the observable in that eigenstate. Source: Internet

In functional analysis, the concept of the spectrum of a bounded operator is a generalization of the eigenvalue concept for matrices. Source: Internet

A natural way to do this is by eigenvalue analysis of a matrix. Source: Internet

Essentially an eigenvalue is like a note being played by the manifold. Source: Internet

Close letter words and terms

eigentrait eigentravel eigentriple eigenvalue of a matrix eigenvalue of a square matrix eigenvariable