12 citations · 40 across the 22 of their papers we have counts for
24 papers · 1 filter
A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices
Peter Benner, Yuji Nakatsukasa, Carolin Penke
We devise a spectral divide-and-conquer scheme for matrices that are self-adjoint with respect to a given indefinite scalar product (i.e. pseudosymmetic matrices). The pseudosymmet…
The Hamiltonian Extended Krylov Subspace Method
Peter Benner, Heike Faßbender, Michel-Niklas Senn
An algorithm for constructing a -orthogonal basis of the extended Krylov subspace $H^{2r-1}u, H^{-1}u, H^{-2}u,…
Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations
Peter Benner, Bruno Iannazzo, Beatrice Meini +1
We identify a relationship between the solutions of a nonsymmetric algebraic T-Riccati equation (T-NARE) and the deflating subspaces of a palindromic matrix pencil, obtained by arr…
Learning reduced order models from data for hyperbolic PDEs
Neeraj Sarna, Peter Benner
Given a set of solution snapshots of a hyperbolic PDE, we are interested in learning a reduced order model (ROM). To this end, we propose a novel decompose then learn approach. We…
Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities
Neeraj Sarna, Peter Benner
We propose a data-driven model order reduction (MOR) technique for parametrized partial differential equations that exhibit parameter-dependent jump-discontinuities. Such problems…
Stable and Efficient Computation of Generalized Polar Decompositions
Peter Benner, Yuji Nakatsukasa, Carolin Penke
We present methods for computing the generalized polar decomposition of a matrix based on the dynamically weighted Halley (DWH) iteration. This method is well established for compu…