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Inequalities for Graph Eigenvalues
, 2015Preface 1. Introduction 2. Spectral radius 3. Least eigenvalue 4. Second largest eigenvalue 5. Other eigenvalues of the adjacency matrix 6. Laplacian eigenvalues 7. Signless Laplacian eigenvalues 8. Inequalities for multiple eigenvalues 9.
Z. Stanić
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Embedded photonic eigenvalues in 3D nanostructures
, 2014Subwavelength layered plasmonic nanospheres can be tuned to excite specific scattering resonances with infinite lifetimes.
F. Monticone, A. Alú
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Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues
, 2014We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the Neumann eigenvalues in a ball and we deduce that the Steklov eigenvalues ...
P. D. Lamberti, Luigi Provenzano
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The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions
, 1989A new method for the calculation of bound state eigenvalues and eigenfunctions of the Schrodinger equation is presented. The Fourier grid Hamiltonian method is derived from the discrete Fourier transform algorithm. Its implementation and use is extremely
C. Marston, G. G. Balint-Kurti
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A Brownian‐Motion Model for the Eigenvalues of a Random Matrix
, 1962A new type of Coulomb gas is defined, consisting of n point charges executing Brownian motions under the influence of their mutual electrostatic repulsions.
F. Dyson
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Rates of change of eigenvalues and eigenvectors.
, 1968Exact expressions for rates of change of eigenvalues and eigenvector to facilitate computerized design of complex ...
R. Fox, M. P. Kapoor
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The Distribution of the Eigenvalues
1991It follows from the results of Chapter 3 that if the function q(x) of the Sturm-Liouville operator $$ {L_y} = - y'' + q(x)y,\,a < x < , $$ (1.1) is bounded from below, and tends to +∞ as x → a or x → b (or both), then the spectrum of L is discrete (assuming that at least one of the endpoints is singular; furthermore, if at least one of them ...
B. M. Levitan, I. S. Sargsjan
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Hydrodynamic Stability Without Eigenvalues
Science, 1993L. Trefethen +3 more
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1966
Publisher Summary This chapter focuses on eigenvalue problems. Eigenvalue problems arise in a number of different areas of mathematics. The differential equation and the boundary conditions constitute an eigenvalue problem. In an eigenvalue problem, associated with a linear homogeneous differential equation of arbitrary order n, each linear ...
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Publisher Summary This chapter focuses on eigenvalue problems. Eigenvalue problems arise in a number of different areas of mathematics. The differential equation and the boundary conditions constitute an eigenvalue problem. In an eigenvalue problem, associated with a linear homogeneous differential equation of arbitrary order n, each linear ...
openaire +3 more sources