Results 51 to 60 of about 147,544 (216)
Perturbation thèorems for the generalized eigenvalue problem
Linear Algebra and its Applications, 1982 AbstractGiven a matrix pair Z = (A, B), the perturbation of its eigenvalues (α, β) is studied. Considering two pairs Z, W as points of the Grassman manifold Gn, 2n and its eigenvalues as points in G1, 2, the projective complex plane, the distance of the spectra, measured in the chordal metric in G1, 2, is bounded by some distance of the matrix pairs in
Elsner, Ludwig, Sun, Ji-Guang
openaire +3 more sources
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 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
Application for a Novel Perturbation Expansion Method
Journal of Algorithms & Computational Technology, 2009 We formulate a coupled vibration problem between a structure and an acoustic field by FEM (finite element methods). The problem leads to a nonstandard eigenvalue problem.
Li Deng +4 more
doaj +1 more source
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
Eigenvalues of perturbed Hermitian matrices
Linear Algebra and its Applications, 1974 AbstractIt is a common experience that the perturbation, or even the omission, of some elements of a matrix often has negligible effect on some of the eigenvalues of the whole matrix. Here some new theorems are presented on this isolation effect in Hermitian matrices.
openaire +2 more sources
Stability and Perturbations of the Domain for the First Eigenvalue of the 1-Laplacian [PDF]
arXiv, 2005 We discuss stability of the first eigenvalue of the 1-Laplacian under perturbations of the domain.
arxiv
Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators [PDF]
arXiv, 2020 For a given self-adjoint operator $A$ with discrete spectrum, we completely characterize possible eigenvalues of its rank-one perturbations~$B$ and discuss the inverse problem of reconstructing $B$ from its spectrum.
arxiv