19 citations · 21 across the 4 of their papers we have counts for
5 papers
SpecSolve: Spectral methods for spectral measures
Matthew J. Colbrook, Andrew Horning
Self-adjoint operators on infinite-dimensional spaces with continuous spectra are abundant but do not possess a basis of eigenfunctions. Rather, diagonalization is achieved through…
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
Matthew J. Colbrook, Andrew Horning, Kyle Thicke +1
Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in…
Twice is enough for dangerous eigenvalues
Andrew Horning, Yuji Nakatsukasa
We analyze the stability of a class of eigensolvers that target interior eigenvalues with rational filters. We show that subspace iteration with a rational filter is robust even wh…
Computing spectral measures of self-adjoint operators
Matthew J. Colbrook, Andrew Horning, Alex Townsend
Using the resolvent operator, we develop an algorithm for computing smoothed approximations of spectral measures associated with self-adjoint operators. The algorithm can achieve a…
FEAST for differential eigenvalue problems
Andrew Horning, Alex Townsend
An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of the spectrum of a differential operator in a region of interest in the complex pla…