%0 Journal Article %1 journals/siammax/BakerJM05 %A Baker, Allison H. %A Jessup, Elizabeth R. %A Manteuffel, Thomas A. %D 2005 %J SIAM Journal on Matrix Analysis and Applications %K 65f10-iterative-methods-for-linear-systems %N 4 %P 962–984 %R 10.1137/S0895479803422014 %T A Technique for Accelerating the Convergence of Restarted GMRES %U https://epubs.siam.org/doi/abs/10.1137/S0895479803422014 %V 26 %X We have observed that the residual vectors at the end of each restart cycle of restarted GMRES often alternate direction in a cyclic fashion, thereby slowing convergence. We present a new technique for accelerating the convergence of restarted GMRES by disrupting this alternating pattern. The new algorithm resembles a full conjugate gradient method with polynomial preconditioning, and its implementation requires minimal changes to the standard restarted GMRES algorithm.

@article{journals/siammax/BakerJM05, abstract = {We have observed that the residual vectors at the end of each restart cycle of restarted GMRES often alternate direction in a cyclic fashion, thereby slowing convergence. We present a new technique for accelerating the convergence of restarted GMRES by disrupting this alternating pattern. The new algorithm resembles a full conjugate gradient method with polynomial preconditioning, and its implementation requires minimal changes to the standard restarted GMRES algorithm.}, added-at = {2019-04-16T05:36:37.000+0200}, author = {Baker, Allison H. and Jessup, Elizabeth R. and Manteuffel, Thomas A.}, biburl = {https://www.bibsonomy.org/bibtex/2f370bf419c3ee76ff7e19c26df2e8e44/gdmcbain}, doi = {10.1137/S0895479803422014}, ee = {http://dx.doi.org/10.1137/S0895479803422014}, interhash = {c2d7d0de1105aad8cc4f2ce1ad6b99d9}, intrahash = {f370bf419c3ee76ff7e19c26df2e8e44}, journal = {SIAM Journal on Matrix Analysis and Applications}, keywords = {65f10-iterative-methods-for-linear-systems}, number = 4, pages = {962–984}, timestamp = {2019-04-16T05:36:37.000+0200}, title = {A Technique for Accelerating the Convergence of Restarted GMRES}, url = {https://epubs.siam.org/doi/abs/10.1137/S0895479803422014}, volume = 26, year = 2005 }