A Stable Parallel Algorithm for Diagonally Dominant Tridiagonal Linear Systems

In this work, we present a stable parallel algorithm based on WZ factorization for solving diagonally dominant tridiagonal linear system of algebraic equations, using divide and conquer approach. Existence results are given and the backward error analysis of the method is presented. Numerical stability of the algorithm is proved. The given parallel algorithm for diagonally dominant tridiagonal linear systems is compared with the Truncated SPIKE version of the SPIKE algorithm [12].