6 citations · 6 across the 4 of their papers we have counts for
5 papers
On the stability of basis construction in extended Krylov subspace methods
Kathryn Lund, Marcel Schweitzer
Extended Krylov subspace methods (EKSMs) are a well known approach for approximating the action of a matrix function on a vector , and their block versions are ofte…
On the loss of orthogonality in low-synchronization variants of reorthogonalized block classical Gram-Schmidt
Erin Carson, Kathryn Lund, Yuxin Ma +1
Interest in communication-avoiding orthogonalization schemes for high-performance computing has been growing recently. This manuscript addresses open questions about the numerical…
Reorthogonalized Pythagorean variants of block classical Gram-Schmidt
Erin Carson, Kathryn Lund, Yuxin Ma +1
Block classical Gram-Schmidt (BCGS) is commonly used for orthogonalizing a set of vectors in distributed computing environments due to its favorable communication properties re…
Challenges in computing matrix functions
Massimiliano Fasi, Stéphane Gaudreault, Kathryn Lund +1
This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynami…
Low-rank-modified Galerkin methods for the Lyapunov equation
Kathryn Lund, Davide Palitta
Of all the possible projection methods for solving large-scale Lyapunov matrix equations, Galerkin approaches remain much more popular than minimal-residual ones. This is mainly du…