12 citations · 14 across the 3 of their papers we have counts for
4 papers
On Spectral Inclusion Sets and Computing the Spectra and Pseudospectra of Bounded Linear Operators
Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
In this paper we derive novel families of inclusion sets for the spectrum and pseudospectrum of large classes of bounded linear operators, and establish convergence of particular s…
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…
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…
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…