50 citations · 99 across the 15 of their papers we have counts for
10 papers · 1 filter
Convergent spectral inclusion sets for banded matrices
Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
We obtain sequences of inclusion sets for the spectrum, essential spectrum, and pseudospectrum of banded, in general non-normal, matrices of finite or infinite size. Each inclusion…
Spectral approximation of generalized Schrödinger operators via approximation of subwords
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of ge…
Finite Sections of Periodic Schrödinger Operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We study discrete Schrödinger operators with periodic potentials as they are typically used to approximate aperiodic Schrödinger operators like the Fibonacci Hamiltonian. We pr…
Finite section method for aperiodic Schrödinger operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We consider 1D discrete Schrödinger operators with aperiodic potentials given by a Sturmian word, which is a natural generalisation of the Fibonacci Hamiltonian. Via a standard app…
Recycling Givens rotations for the efficient approximation of pseudospectra of band-dominated operators
Marko Lindner, Torge Schmidt
We study spectra and pseudospectra of certain bounded linear operators on . The operators are generally non-normal, and their matrix representation has a chara…
On the spectrum of operator families on discrete groups over minimal dynamical systems
Siegfried Beckus, Daniel Lenz, Marko Lindner +1
It is well known that, given an equivariant and continuous (in a suitable sense) family of selfadjoint operators in a Hilbert space over a minimal dynamical system, the spectrum of…
Coburn's Lemma and the Finite Section Method for Random Jacobi Operators
Simon N. Chandler-Wilde, Marko Lindner
We study the spectra and pseudospectra of finite and infinite tridiagonal random matrices, in the case where each of the diagonals varies over a separate compact set, say $U,V,W\su…
Note on spectra of non-selfadjoint operators over dynamical systems
Siegfried Beckus, Daniel Lenz, Marko Lindner +1
We consider equivariant continuous families of discrete one-dimensional operators over arbitrary dynamical systems. We introduce the concept of a pseudo-ergodic element of a dynami…
On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators
Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
In this paper we develop and apply methods for the spectral analysis of non-self-adjoint tridiagonal infinite and finite random matrices, and for the spectral analysis of analogous…
Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices
Simon N. Chandler-Wilde, Marko Lindner
In the first half of this text we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch & Silbermann and…