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1Each of a set of values of a parameter for which a differential equation has a non-zero solution (an eigenfunction) under given conditions.
‘Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates.’
‘In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.’
‘It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices.’
‘He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions.’
‘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 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.’
‘There is, however, a way to obtain the kinetic matrix from the experimental eigenvalues and the eigenvectors directly.’
‘The eigenvalue effective population size, equal to the leading eigenvalue of this matrix is derived.’
‘This is where those eigenvalues of random Hermitian matrices enter the picture.’