A parallel algorithm for multilevel graph partitioning and sparse matrix ordering
Journal of Parallel and Distributed Computing
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Multilevel Preconditioners Constructed From Inverse-Based ILUs
SIAM Journal on Scientific Computing
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
PT-Scotch: A tool for efficient parallel graph ordering
Parallel Computing
Design, Tuning and Evaluation of Parallel Multilevel ILU Preconditioners
High Performance Computing for Computational Science - VECPAR 2008
Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeneous Media
SIAM Journal on Scientific Computing
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In this paper we investigate the parallelization of the ILUPACK library for the solution of sparse linear systems on distributed-memory multiprocessors. The parallelization approach employs multilevel graph partitioning algorithms in order to identify a set of concurrent tasks and their dependencies, which are then statically mapped to processors. Experimental results on a cluster of Intel QuadCore processors report remarkable speed-ups.