Results 191 to 200 of about 276,787 (219)
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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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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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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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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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On the higher eigenvalues for the $\infty$ -eigenvalue problem
Calculus of Variations and Partial Differential Equations, 2005We study the higher eigenvalues and eigenfunctions for the so-called $\infty$ -eigenvalue problem. The problem arises as an asymptotic limit of the nonlinear eigenvalue problems for the p-Laplace operators and is very closely related to the geometry of the ...
Peter Lindqvist, Petri Juutinen
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Complex eigenvalues and the inverse spectral problem for transmission eigenvalues
, 2013We continue our investigation of complex eigenvalues of the interior transmission problem for spherically stratified media (Leung and Colton 2012 Inverse Problems 28 075005).
D. Colton, Y. Leung
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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 ...
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A numerical method to compute interior transmission eigenvalues
, 2013In this paper the numerical calculation of eigenvalues of the interior transmission problem arising in acoustic scattering for constant contrast in three dimensions is considered.
A. Kleefeld
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2007
Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
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Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
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1987
In this chapter we describe numerical techniques for the calculation of a scalar λ and non-zero vector x in the equation $$ Ax = \lambda x $$ (4.1) where A is a given n × n matrix. The quantities λ and x are usually referred to as an eigenvalue and an eigenvector of A.
Colin Judd, Ian Jacques
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In this chapter we describe numerical techniques for the calculation of a scalar λ and non-zero vector x in the equation $$ Ax = \lambda x $$ (4.1) where A is a given n × n matrix. The quantities λ and x are usually referred to as an eigenvalue and an eigenvector of A.
Colin Judd, Ian Jacques
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