1 citations · 1 across the 4 of their papers we have counts for
4 papers
An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices
M. A. Botchev
An accurate residual--time (AccuRT) restarting for computing matrix exponential actions of nonsymmetric matrices by the shift-and-invert (SAI) Krylov subspace method is proposed. T…
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential
Alexandr Katrutsa, Mike Botchev, Ivan Oseledets
We propose two methods to find a proper shift parameter in the shift-and-invert method for computing matrix exponential matrix-vector products. These methods are useful in the case…
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling
Mike A. Botchev
A nested Schur complement solver is proposed for iterative solution of linear systems arising in exponential and implicit time integration of the Maxwell equations with perfectly m…
ART: adaptive residual--time restarting for Krylov subspace matrix exponential evaluations
Mikhail A. Botchev, Leonid A. Knizhnerman
In this paper a new restarting method for Krylov subspace matrix exponential evaluations is proposed. Since our restarting technique essentially employs the residual, some converge…