Results 41 to 50 of about 271,004 (192)
Nodal count of graph eigenfunctions via magnetic perturbation
, 2011 We establish a connection between the stability of an eigenvalue under a magnetic perturbation and the number of zeros of the corresponding eigenfunction. Namely, we consider an eigenfunction of discrete Laplacian on a graph and count the number of edges
Band +10 more
core +1 more source
International Islamic University Malaysia Engineering Journal, 2013 : In this article, methods of theory of bifurcations, applies to the problem of retaining of the approximately given multiple eigenvalues and their generalized eigenvectors.
Rakhimov Davran Ganievich
doaj +1 more source
Teoría de perturbaciones de Brillouin-Wigner: Oscilador armónico perturbado
Momento, 1993 An harmonic oscillator is subject to a perturbation [Physical Formula] where [Physical Formula] is an eigenket of the momentum operator. The Brillouin-Wigner perturbation theory is applied to solve the eigenvalue equation of the perturbed Hamiltonian.
D. Campos
doaj
Analysis of Semi-Blind Channel Estimation in Multiuser Massive MIMO Systems With Perturbations
IEEE Access, 2019 In the massive multiple-input multiple-output (MIMO) systems, pilot contamination and signal perturbation are two important issues in the semi-blind channel estimation methods.
Cheng Hu, Hong Wang, Rongfang Song
doaj +1 more source
The Hydrogen Atom in Strong Electric Fields: Summation of the Weak Field Series Expansion
, 1995 The order dependent mapping method, its convergence has recently been proven for the energy eigenvalue of the anharmonic oscillator, is applied to re-sum the standard perturbation series for Stark effect of the hydrogen atom.
Alexander +22 more
core +2 more sources
The converse of Weyl's eigenvalue inequality [PDF]
Adv. in Appl. Math. 109 (2019) 65-73, 2019 We establish the converse of Weyl's eigenvalue inequality for additive Hermitian perturbations of a Hermitian matrix.
arxiv +1 more source
On Selberg's small eigenvalue conjecture and residual eigenvalues [PDF]
arXiv, 2007 We show that Selberg's eigenvalue conjecture concerning small eigenvalues of the automorphic Laplacian for congruence groups is equivalent to a conjecture about the non-existence of residual eigenvalues for a perturbed system. We prove this using a combination of methods from asymptotic perturbation theory and number theory.
arxiv
Transmission eigenvalues for elliptic operators [PDF]
arXiv, 2010 A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a non-selfadjoint compact operator is given. Sufficient conditions for the existence of transmission eigenvalues and completeness of generalized eigenstates for the transmission ...
arxiv
Finite sample approximation results for principal component analysis: a matrix perturbation approach
, 2009 Principal component analysis (PCA) is a standard tool for dimensional reduction of a set of $n$ observations (samples), each with $p$ variables. In this paper, using a matrix perturbation approach, we study the nonasymptotic relation between the ...
Nadler, Boaz
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Interior eigenvalue density of Jordan matrices with random perturbations [PDF]
arXiv, 2014 We study the eigenvalue distribution of a large Jordan block subject to a small random Gaussian perturbation. A result by E.B. Davies and M. Hager shows that as the dimension of the matrix gets large, with probability close to $1$, most of the eigenvalues are close to a circle.
arxiv