The Parallel Algorithm for Solving Cycle Block-Tridiagonal Linear Equation

The parallel algorithm for periodical block-tridiagonal linear equations on distributed-memory multi-computers is presented. Making full use of the special structure of the coefficient matrix, the algorithm is based on decomposing the coefficient matrix properly and approximately disposing the matrix. The communication only needs twice between the adjacent processors. Theoretically, this paper gives a sufficient condition about effectively of this algorithm. Finally, some numerical results on HP rx2600 cluster demonstrate that practice computing is consistent with theory. The algorithm´s parallelism is preferable.