Title: ART: adaptive residual--time restarting for Krylov subspace matrix exponential evaluations,
Abstract: In this paper a new restarting method for Krylov subspace matrix exponential
evaluations is proposed. Since our restarting technique essentially employs the
residual, some convergence results for the residual are given. We also discuss
how the restart length can be adjusted after each restart cycle, which leads to
an adaptive restarting procedure. Numerical tests are presented to compare our
restarting with three other restarting methods. Some of the algorithms
described in this paper are a part of the Octave/Matlab package expmARPACK
available at this http URL.