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Ramanujan graphs are defined in terms of the eigenvalues of their adjacency or Laplacian matrices.
In this talk we will discuss the local statistics of the eigenvalues of such operators (in dimension one).
Using information of the eigenvalues of the adjacency matrix, we obtain necessary conditions for existence.
Examination of the eigenvalues of the velocity solution gives an explicit relationship for the size of the plate penetration hole.
However, the exclusive presence of positive feedback in Hebbian learning provokes the divergence of the eigenvalues of the weight matrix.
Analytical expressions are obtained for the probability density function (pdf) of the eigenvalues of the closed loop system.
The approach is based on the first-order sensitivities of the eigenvalues of the power system linear model.
The Jacobi Davidson (JD) algorithm was recently proposed for evaluating a number of the eigenvalues of a matrix.
It is known that some optimality criteria of experimental designs are functionals of the eigenvalues of their information matrices.
This criterion involves the eventual uniform distribution, mod 1, of the eigenvalues of the approximating unitaries.
The condition imposed is regular variation of the eigenvalues of the covariance operator.
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CEO of Professional Science Editing for Scientists @ prosciediting.com