eigenvalue
Noun
Meaning
(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Source: WordNetSynonyms
Hypernyms
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.
And the eigenvectors corresponding to these eigenvalues are: : Only the eigenvalue is more than unity.
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.
In functional analysis, the concept of the spectrum of a bounded operator is a generalization of the eigenvalue concept for matrices.
A natural way to do this is by eigenvalue analysis of a matrix.
Essentially an eigenvalue is like a note being played by the manifold.