7 citations · 19 across the 13 of their papers we have counts for
4 papers · 1 filter
Projected exponential methods for stiff dynamical low-rank approximation problems
Benjamin Carrel, Bart Vandereycken
The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of…
Gradient-type subspace iteration methods for the symmetric eigenvalue problem
Foivos Alimisis, Yousef Saad, Bart Vandereycken
This paper explores variants of the subspace iteration algorithm for computing approximate invariant subspaces. The standard subspace iteration approach is revisited and new varian…
Gauss-Southwell type descent methods for low-rank matrix optimization
Guillaume Olikier, André Uschmajew, Bart Vandereycken
We consider gradient-related methods for low-rank matrix optimization with a smooth cost function. The methods operate on single factors of the low-rank factorization and share asp…
Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations
Marco Sutti, Bart Vandereycken
We propose two implicit numerical schemes for the low-rank time integration of stiff nonlinear partial differential equations. Our approach uses the preconditioned Riemannian trust…