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Definition of eigenvalue in English:
eigenvalue
noun
Physics Mathematics1Each of a set of values of a parameter for which a differential equation has a nonzero solution (an eigenfunction) under given conditions.
- ‘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.’
- ‘He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions.’
- ‘Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates.’
- ‘Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.’
2Any number such that a given matrix minus that number times the identity matrix has a zero determinant.
- ‘In general, it is difficult to calculate the eigenvalues.’
- ‘In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements.’
- ‘The eigenvalue effective population size, equal to the leading eigenvalue of this matrix is derived.’
- ‘There is, however, a way to obtain the kinetic matrix from the experimental eigenvalues and the eigenvectors directly.’
- ‘This is where those eigenvalues of random Hermitian matrices enter the picture.’
Pronunciation:
eigenvalue
/ˈīɡənˌvalyo͞o/Further reading
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