### Some articles on *eigenvalues, eigenvalue*:

Scalar Field Solution -

... field solution must have the form In other words, we have a simple eigvalue and a triple

**Eigenvalues**... field solution must have the form In other words, we have a simple eigvalue and a triple

**eigenvalue**, each being the negative of the other ...Spectral Geometry

... to identify features of the geometry from information about the

... to identify features of the geometry from information about the

**eigenvalues**of the Laplacian ... can be determined from the asymptotic behavior of the**eigenvalues**for the Dirichlet boundary value problem of the Laplace operator ... by John Milnor tells us, the information of**eigenvalues**is not enough to determine the isometry class of a manifold (see isospectral) ...SL2(R) - Classification of Elements - Conjugacy Classes

... classified up to conjugacy (in GL(n,C)) by

... classified up to conjugacy (in GL(n,C)) by

**eigenvalues**and nilpotence (concretely, nilpotence means where 1s occur in the Jordan blocks) ... is fixed, and trace and determinant determine**eigenvalues**), except if the**eigenvalues**are equal, so ±I and the parabolic elements of trace +2 and trace 2 are not conjugate (the former have no off-diagonal entries ...Circular Ensemble - Generalizations

... The

... The

**eigenvalues**of orthogonal matrices come in complex conjugate pairs and, possibly complemented by**eigenvalues**fixed at +1 or -1 ... For n=2m even and det U=1, there are no fixed**eigenvalues**and the phases θk have probability distribution with C an unspecified normalization constant ... For n=2m+1 odd there is one fixed**eigenvalue**σ=det U equal to ±1 ...Matrix Differential Equation - Solved Example of A Matrix ODE - First Step

... The first step, that has already been mentioned above, is finding the

... The first step, that has already been mentioned above, is finding the

**eigenvalues**... The process of finding the**eigenvalues**is not a very difficult process ... Both**eigenvalues**and eigenvectors are useful in numerous branches of mathematics, including higher engineering mathematics/calculations(i.e ...