TY - JOUR T1 - Development of a Restricted Additive Schwarz Preconditioner for Sparse Linear Systems on Nvidia GPU AU - Hui Liu, Zhangxin Chen, Song Yu, Ben Hsieh & Lei JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 13 EP - 20 PY - 2014 DA - 2014/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/215.html KW - AB - In this paper, we develop, study and implement a restricted additive Schwarz (RAS) preconditioner for speedup of the solution of sparse linear systems on NVIDIA Tesla GPU. A novel algorithm for constructing this preconditioner is proposed. This algorithm involves two phases. In the first phase, the construction of the RAS preconditioner is transformed to an incomplete-LU problem. In the second phase, a parallel triangular solver is developed and the incomplete-LU problem is solved by this solver. Numerical experiments show that the speedup of this preconditioner is sufficiently high.