Topic
Spectrum of a matrix
About: Spectrum of a matrix is a research topic. Over the lifetime, 1064 publications have been published within this topic receiving 19841 citations. The topic is also known as: matrix spectrum.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the authors investigated the asymptotic behavior of large eigenvalues for a class of finite difference self-adjoint operators with compact resolvent in $l 2.
Abstract: We investigate the asymptotic behaviour of large eigenvalues for a class of finite difference self-adjoint operators with compact resolvent in $l^2$.
2 citations
TL;DR: In this paper, the authors generalize classical interlacing by using singular values of off-diagonal blocks of A to construct extended intervals that capture a larger number of eigenvalues of A.
2 citations
TL;DR: In this paper, the existence of eigenvalues for a type of non-linear equations was studied and conditions to get positive eigenfunctions were given for obtaining them under some appropriate conditions.
Abstract: In this work, we study the existence of eigenvalues for a type of non-linear equations and we give some conditions to get positive eigenfunctions. Particularly, we show that under some appropriate conditions, the set of eigenvalues is an interval.
2 citations
Posted Content•
TL;DR: In this article, a new class of sign-symmetric matrices is introduced, called J--signsymmetric and irreducible matrices, which have complex eigenvalues on the largest spectral circle.
Abstract: A new class of sign-symmetric matrices is introduced in this paper Such matrices are named J--sign-symmetric The spectrum of a J--sign-symmetric irreducible matrix is studied under assumptions that its second compound matrix is also J--sign-symmetric and irreducible The conditions, when such matrices have complex eigenvalues on the largest spectral circle, are given The existence of two positive simple eigenvalues $\lambda_1 > \lambda_2 > 0$ of a J--sign-symmetric irreducible matrix A is proved under some additional conditions The question, when the approximation of a J--sign-symmetric matrix with a J--sign-symmetric second compound matrix by strictly J--sign-symmetric matrices with strictly J--sign-symmetric compound matrices is possible, is also studied in this paper
2 citations
TL;DR: The existence of analytic curves of eigenvalues for the Laplace-Neumann operator through an analytic variation of the metric of a compact Riemannian manifold M with boundary was established in this paper.
2 citations