23 citations · 87 across the 23 of their papers we have counts for
4 papers · 1 filter
Krylov integrators for Hamiltonian systems
Antti Koskela
We consider Arnoldi like processes to obtain symplectic subspaces for Hamiltonian systems. Large systems are locally approximated by ones living in low dimensional subspaces; we es…
On a generalization of the Bessel function Neumann expansion
Antti Koskela, Elias Jarlebring
The Bessel-Neumann expansion (of integer order) of a function corresponds to representing as a linear combination of basis functions $ϕ_0,ϕ_…
Analysis of Krylov Subspace Approximation to Large Scale Differential Riccati Equations
Antti Koskela, Hermann Mena
We consider a Krylov subspace approximation method for the symmetric differential Riccati equation , . The method we consider is based on p…
Disguised and new Quasi-Newton methods for nonlinear eigenvalue problems
Elias Jarlebring, Antti Koskela, Giampaolo Mele
In this paper we take a quasi-Newton approach to nonlinear eigenvalue problems (NEPs) of the type , where is a holomorphic…