# Eigenvalue

From AMS Glossary

(Redirected from Eigenvalues)

## eigenvalue

A scalar value λ that permits nonzero solutions where

*y*of equations of the form*L*is a linear operator and where*y*can represent a vector or a function that is subject to certain boundary conditions. When*y*is a vector,*L*represents a matrix and*y*is termed an eigenvector. When*y*is a function,*L*can represent a differential or integral form, in which case*y*is called an eigenfunction.