Parallel Factorizations in Numerical Analysis

Pierluigi Amodio, Luigi Brugnano

Abstract


In this paper we review the parallel solution of sparse linear
systems, usually deriving by the discretization of ODE-IVPs or
ODE-BVPs. The approach is based on the concept of parallel factorization of a (block) tridiagonal matrix. This allows to
obtain efficient parallel extensions of many known matrix
factorizations, and to derive, as a by-product, a unifying
approach to the parallel solution of ODEs.

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