Michel-Niklas Senn

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20192026

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math.NA2026

Structure-preserving Krylov Subspace Approximations for the Matrix Exponential of Hamiltonian Matrices: A Comparative Study

Peter Benner, Heike Faßbender, Michel-Niklas Senn

We study structure-preserving Krylov subspace methods for approximating the matrix-vector products f(H)b, where H is a large Hamiltonian matrix and f denotes either the matrix expo…

math.NA2022

The Hamiltonian Extended Krylov Subspace Method

Peter Benner, Heike Faßbender, Michel-Niklas Senn

An algorithm for constructing a $J$ -orthogonal basis of the extended Krylov subspace $K_{r, s} = range {u, H u, H^{2} u,$ $\dots,$ $H^{2r-1}u, H^{-1}u, H^{-2}u,…

math.NA2019

On skew-Hamiltonian Matrices and their Krylov-Lagrangian Subspaces

Philip Saltenberger, Michel-Niklas Senn

It is a well-known fact that the Krylov space $K_{j} (H, x)$ generated by a skew-Hamiltonian matrix $H \in R^{2 n \times 2 n}$ and some $x \in R^{2 n}$ is isot…