Tian Gao, Jie Chen, et al.
AAAI 2019
A flexible version of the BiCGStab algorithm for solving a linear system of equations is analyzed. We show that under variable preconditioning, the perturbation to the outer residual norm is of the same order as that to the application of the preconditioner. Hence, in order to maintain a similar convergence behavior to BiCGStab while reducing the preconditioning cost, the flexible version can be used with a moderate tolerance in the preconditioning Krylov solves. We explored the use of flexible BiCGStab in a large-scale reacting flow application, PFLOTRAN, and showed that the use of a variable multigrid preconditioner significantly accelerates the simulation time on extreme-scale computers using O(10 4) –O(10 5) processor cores.
Tian Gao, Jie Chen, et al.
AAAI 2019
Siyu Huo, Tengfei Ma, et al.
TextGraphs/EMNLP-IJCNLP 2019
Jie Chen
SIAM Journal on Scientific Computing
Aldo Pareja, Giacomo Domeniconi, et al.
AAAI 2020