Eigenvalue

Related Terms:

eigenfield proper value eigenoperator eigenscale eigenspectrum image geometric multiplicity eigenvector eigenangle eigendecomposition lanczos algorithm positone eigenvalues diagonalisation metric tensor eigentime eigenface eigenmode pseudospectrum eigensolution right eigenvalue eigenpair eigensolver zero mode spectrum elliptope eigendata eigengap semipositone scalar eigenspace eigenmass eigenstructure eigenfunction proper spectral theory linear operator eigenstate eigenproblem vector characteristic polynomial left eigenvalue characteristic root multiplication eigenstep eigensystem eigenmatrix eigen eigenratio

Definitions:

Noun

eigenvalue eigenvalue of a matrix eigenvalue of a square matrix characteristic root of a square matrix

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

Definition: A scalar, 𝜆, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by 𝜆; i.e. Ax=𝜆x.