Abstract
This paper studies a parallel algorithm for real Toeplitz systems, which is proposed based on the block Jacobi iteration and GMRES method. The algorithm has the advantage of less float operations, fast convergence speed and especially suitable for parallel computating. In this paper, we first use the block Jacobi iterative method to obtain the iterative process, and then the GMRES method is nested to obtain the iterative sequences {xk}. Therefore, the parallel algorithm for solving symmetric positive definite Toeplitz systems is constructed. The convergence of the algorithm is also discussed simply in the paper. At the end, we give some numerical examples to illustrate the effectiveness of the parallel algorithm.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
