3 papers
math.NA2020
Computing low-rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods
Peter Kandolf, Antti Koskela, Samuel D. Relton +1
The Fréchet derivative of the matrix function plays an important role in many different applications, including condition number estimation and network analysis.…
physics.comp-ph2017
Magnus integrators on multicore CPUs and GPUs
N. Auer, L. Einkemmer, P. Kandolf +1
In the present paper we consider numerical methods to solve the discrete Schrödinger equation with a time dependent Hamiltonian (motivated by problems encountered in the study of s…
math.NA2016
Computing the Action of Trigonometric and Hyperbolic Matrix Functions
Nicholas J. Higham, Peter Kandolf
We derive a new algorithm for computing the action of the cosine, sine, hyperbolic cosine, and hyperbolic sine of a matrix on a matrix , without first computing $f(A…