Preview
Unable to display preview. Download preview PDF.
References
Alfred V. Aho, John E. Hopcroft, and Jeffrey D. Ullman. The Design and Analysis of Computer Algorithms. Addison-Wesley Publishing Company, 1974.
R. M. Chamberlain. An algorithm for LU factorization with partial pivoting on the hypercube. Technical Report CCS 86/11, Chr. Michelsen Institute, 1986.
R. M. Chamberlain and M. J. D. Powell. QR factorization for linear least squares problems on the hypercube. Technical Report CCS 86/10, Chr. Michelsen Institute, 1986.
T. H. Dunigan. A message-passing multiprocessor simulator. Technical Report ORNL/TM-9966, Oak Ridge National Laboratory, 1986.
G. C. Everstine. A comparison of three resequencing algorithms for the reduction of matrix profile and wave front. International Journal for Numerical Methods in Engineering, 14:837–853, 1979.
Tse-yun Feng. A survey of interconnection networks. IEEE Computer, 12:12–27, 1981.
Geoffrey C. Fox and Steve W. Otto. Concurrent computation and the theory of complex systems. Technical Report CALT-68-1343, California Institute of Technology, 1986.
Alan George, Michael T. Heath, Joseph Liu, and Esmond Ng. Sparse Cholesky factorization on a local-memory multiprocessor. Technical Report ORNL/TM-9962, Oak Ridge National Laboratory, 1986.
Alan George and Joseph W. H. Liu. An automatic nested dissection algorithm for irregular finite element problems. SIAM Journal on Numerical Analysis, 15:1053–1069, 1978.
Alan George and Joseph W. H. Liu. Computer Solution of Large Sparse Positive Definite Systems. Prentice-Hall, 1981.
Alan George, Joseph W. H. Liu, and Esmond Ng. Communication results for parallel sparse Cholesky factorization on a hypercube. Submitted to Parallel Computing, 1987.
John R. Gilbert and Robert Endre Tarjan. The analysis of a nested dissection algorithm. To appear in Numerische Mathematik, 1987.
John Russell Gilbert. Graph Separator Theorems and Sparse Gaussian Elimination. Ph.D. thesis, Stanford University, 1980.
B. W. Kernighan and S. Lin. An efficient heuristic procedure for partitioning graphs. The Bell System Technical Journal, 49:291–307, 1970.
Charles E. Leiserson. Area-efficient graph layouts (for VLSI). In Proceedings of the 21st Annual Symposium on Foundations of Computer Science, pages 270–281, 1980.
Richard J. Lipton, Donald J. Rose, and Robert Endre Tarjan. Generalized nested dissection. SIAM Journal on Numerical Analysis, 16:346–358, 1979.
Richard J. Lipton and Robert Endre Tarjan. Applications of a planar separator theorem. SIAM Journal on Computing, 9:615–627, 1980.
Joseph W. H. Liu. Computational models and task scheduling for parallel sparse Cholesky factorization. Parallel Computing, 3:327–342, 1986.
Joseph W. H. Liu. Equivalent sparse matrix reordering by elimination tree rotations. Technical Report CS-86-12, York University, 1986.
Joseph W. H. Liu. The solution of mesh equations on a parallel computer. Technical Report, University of Waterloo, 1974.
Frans J. Peters. MIMD machines and sparse linear equations. In Highly parallel computers for numerical and signal processing applications: Proceedings of a working conference of the International Federation for Information Processing Working Group 10.3, North-Holland, 1986.
Frans J. Peters. Parallel pivoting algorithms for sparse symmetric matrices. Parallel Computing, 1:99–110, 1984.
Donald J. Rose, Robert Endre Tarjan, and George S. Leuker. Algorithmic aspects of vertex elimination on graphs. SIAM Journal on Computing, 5:266–283, 1976.
Earl Zmijewski. Sparse Cholesky Factorization on a Multiprocessor. Ph.D. thesis, Cornell University, 1987.
Earl Zmijewski and John R. Gilbert. A parallel algorithm for large sparse symbolic and numeric Cholesky factorization on a multiprocessor. Technical Report 86–733, Cornell University, 1986.
Earl Zmijewski and John R. Gilbert. A parallel algorithm for sparse symbolic Cholesky factorization on a multiprocessor. To appear in Parallel Computing.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gilbert, J.R., Zmijewski, E. (1988). A parallel graph partitioning algorithm for a message-passing multiprocessor. In: Houstis, E.N., Papatheodorou, T.S., Polychronopoulos, C.D. (eds) Supercomputing. ICS 1987. Lecture Notes in Computer Science, vol 297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18991-2_29
Download citation
DOI: https://doi.org/10.1007/3-540-18991-2_29
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18991-6
Online ISBN: 978-3-540-38888-3
eBook Packages: Springer Book Archive