Research and Implementation of Jacobi Algorithm Based on MPI with Checkerboard Decomposition

In order to achieve parallel algorithm ported from serial algorithm, this paper proposes a simplified model based on MPI checkerboard decomposition. The process of analysis, design and implementation of parallel program will be speed up, by emphasizing data and calculation decomposition. Jacobi algorithm is used as an example to explain this simplified model. The example results show that simplified model is more suitable for implementation of parallel program than Foster's task/channel model, and checkerboard decomposition has better speedup than row/column decomposition. Furthermore, this simplified model applies to design not only Jacobi algorithm but also other parallel algorithms based on checkerboard decomposition.