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Perturbation theory of eigenvalue problems

Franz Rellich, +1 more
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The article was published on 1969-01-01 and is currently open access. It has received 600 citations till now. The article focuses on the topics: Inverse iteration & Eigenvalue perturbation.

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DissertationDOI

Types of convergence of matrices

Olga Pryporova
TL;DR: In this article, it was shown that for complex matrices of order n ≤ 3 diagonal convergence, DC convergence and boundary convergence are all equivalent, and an example of a 4 by 4 matrix that is DC convergent but not diagonally convergent is constructed.
Dissertation

Microlocal analysis of global hyperbolic propagators on manifolds without boundary

Matteo Capoferri
TL;DR: In this article, the authors proposed a global propagator for the wave equation on a closed Riemannian manifold of dimension d ≥ 2 and the global propagators for the massless Dirac operator on a 3-manifold.
Proceedings ArticleDOI

On MMSE Properties and I-MMSE Implications in Parallel MIMO Gaussian Channels

Ronit Bustin, +3 more
- 26 Apr 2010 - 
TL;DR: In this article, the authors extend the single crossing point property of the scalar MMSE function to the parallel degraded MIMO scenario, and provide an alternative converse proof for the broadcast channel capacity region under covariance constraint in this specific setting.
Journal ArticleDOI

The r-modes of rotating fluids

Yousef Sobouti, +1 more
- 01 Aug 2001 - 
TL;DR: In this paper, an analysis of the toroidal modes of a rotating fluid, by means of the dierential equations of motion, is not readily tractable and a matrix representation of the equations on a suitable basis, however, simplies the problem considerably and reveals many of its intricacies.
Journal ArticleDOI

Existence and multiplicity of solutions for a singular problem involving the p-biharmonic operator in RN

Abdelwaheb Dhifli, +1 more
- 15 Jul 2021 - 
TL;DR: In this paper, the existence and multiplicity of solutions for the singular p-biharmonic problem with Rellich potential was studied and it was shown that there are two positive entire solutions.