A Matrix Partitioning Interface to PaToH in MATLAB

Authors:
Bora Uçar;ímit V. Çatalyürek;Cevdet Aykanat
Affiliations:
Centre National de la Recherche Scientifique, Laboratoire de l'Informatique du Parallélisme, (UMR CNRS-ENS Lyon-INRIA-UCBL), Université de Lyon, 46, allée d'Italie, ENS Lyon, F-6936 ...;Department of Biomedical Informatics and Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA;Department of Computer Engineering, Bilkent University, Bilkent, 06800 Ankara, Turkey
Venue:
Parallel Computing
Year:
2010

Citing 13
Cited 0

A Partitioning Strategy for Nonuniform Problems on Multiprocessors

IEEE Transactions on Computers
Data distributions for sparse matrix vector multiplication

Parallel Computing
Geometric Mesh Partitioning: Implementation and Experiments

SIAM Journal on Scientific Computing
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs

SIAM Journal on Scientific Computing
Image-Space Decomposition Algorithms for Sort-First Parallel Volume Rendering of Unstructured Grids

The Journal of Supercomputing
A hypergraph-partitioning approach for coarse-grain decomposition

Proceedings of the 2001 ACM/IEEE conference on Supercomputing
A Fine-Grain Hypergraph Model for 2D Decomposition of Sparse Matrices

IPDPS '01 Proceedings of the 15th International Parallel & Distributed Processing Symposium
Parallel Multilevel Algorithms for Multi-constraint Graph Partitioning (Distinguished Paper)

Euro-Par '00 Proceedings from the 6th International Euro-Par Conference on Parallel Processing
Encapsulating Multiple Communication-Cost Metrics in Partitioning Sparse Rectangular Matrices for Parallel Matrix-Vector Multiplies

SIAM Journal on Scientific Computing
A Two-Dimensional Data Distribution Method for Parallel Sparse Matrix-Vector Multiplication

SIAM Review
Partitioning Sparse Matrices for Parallel Preconditioned Iterative Methods

SIAM Journal on Scientific Computing
Revisiting Hypergraph Models for Sparse Matrix Partitioning

SIAM Review
Multi-level direct K-way hypergraph partitioning with multiple constraints and fixed vertices

Journal of Parallel and Distributed Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present the PaToH MATLAB Matrix Partitioning Interface. The interface provides support for hypergraph-based sparse matrix partitioning methods which are used for efficient parallelization of sparse matrix-vector multiplication operations. The interface also offers tools for visualizing and measuring the quality of a given matrix partition. We propose a novel, multilevel, 2D coarsening-based 2D matrix partitioning method and implement it using the interface. We have performed extensive comparison of the proposed method against our implementation of orthogonal recursive bisection and fine-grain methods on a large set of publicly available test matrices. The conclusion of the experiments is that the new method can compete with the fine-grain method while also suggesting new research directions.