Definition of eigenvalue in English:

eigenvalue

Syllabification: ei·gen·val·ue
Pronunciation: /ˈīɡənˌvalyo͞o
 
/

noun

Mathematics & Physics
1Each of a set of values of a parameter for which a differential equation has a nonzero solution (an eigenfunction) under given conditions.
More example sentences
  • He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions.
  • It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices.
  • In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
2Any number such that a given matrix minus that number times the identity matrix has a zero determinant.
More example sentences
  • In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements.
  • This is where those eigenvalues of random Hermitian matrices enter the picture.
  • The eigenvalue effective population size, equal to the leading eigenvalue of this matrix is derived.

Definition of eigenvalue in:

Get more from Oxford Dictionaries

Subscribe to remove ads and access premium resources

Word of the day oleaginous
Pronunciation: ˌōlēˈajənəs
adjective
rich in, covered with, or producing oil; oily