50 citations · 99 across the 15 of their papers we have counts for
7 papers · 1 filter
Finite sections of random Jacobi operators
Marko Lindner, Steffen Roch
This article is about a problem in the numerical analysis of random operators. We study a version of the finite section method for the approximate solution of equations in i…
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
Timo Betcke, Simon N. Chandler-Wilde, Ivan G. Graham +2
We consider the classical coupled, combined-field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle. In recent work, we have pro…
On the integer points in a lattice polytope: n-fold Minkowski sum and boundary
Marko Lindner, Steffen Roch
In this article we compare the set of integer points in the homothetic copy of a lattice polytope with the set of all sums with $x_1,...,x_n\…
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…
Eigenvalue problem meets Sierpinski triangle: computing the spectrum of a non-self-adjoint random operator
Simon Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
The purpose of this paper is to prove that the spectrum of the non-self-adjoint one-particle Hamiltonian proposed by J. Feinberg and A. Zee (Phys. Rev. E 59 (1999), 6433--6443) has…
Two stable modifications of the finite section method
Marko Lindner
In this article we demonstrate and compare two modified versions of the classical finite section method for band-dominated operators in case the latter is not stable. For both meth…
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics
Peter J. Bickel, Marko Lindner
In the first part of this paper we give an elementary proof of the fact that if an infinite matrix , which is invertible as a bounded operator on , can be uniformly appr…