Article

Free access

PMRSB: parallel multilevel recursive spectral bisection

Author:

Stephen T. BarnardAuthors Info & Claims

Supercomputing '95: Proceedings of the 1995 ACM/IEEE conference on Supercomputing

Pages 27 - es

https://doi.org/10.1145/224170.224227

Published: 08 December 1995 Publication History

All formats PDF

Abstract

The design of a parallel implementation of multilevel recursive spectral bisection on the Cray T3D is described. The code is intended to be fast enough to enable dynamic repartitioning of adaptive meshes and to partition meshes that are too large for workstations. Two innovations in the implementation are recursive asynchronous task teams and a parallel version of the multilevel accelerator. A performance improvement of a factor of 140 over the best available serial implementation is demonstrated.

References

[1]

S. T. Barnard and H. D. Simon, 'Fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems', Concurrency: Practice and Experience, Vol. 6, No. 2, 101-117 (1994).

Crossref

Google Scholar

[2]

S. T. Barnard, A. Pothen, and H. D. Simon, 'A spectral algorithm for envelope reduction of sparse matrices', Proceedings of SU- PERCOMPUTING '93, 493-502, Portland, Oregon, (November 15-19, 1993).

Digital Library

Google Scholar

[3]

E. D. Brooks III, B. C. Gorda, and Karen H. Warren, 'The Parallel C Preprocessor', Scientific Programming, Vol. 1, No. 1, 79-89 (1992).

Digital Library

Google Scholar

[4]

CMSSL For CM Fortran, Vol. II, version 3.2, Thinking Machines Corp., (1994).

Google Scholar

[5]

P. Diniz, S. Plimpton, B. Hendrickson, and R. Leland, 'Parallel algorithms for dynamically partitioning unstructured grids', Proceeding of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 615-620 (1995).

Google Scholar

[6]

M. Garey, D. Johnson, and L. Stockmeyer, 'Some simplified NP- complete graph problems', Theoretical Computer Science,1, 237-267 (1976).

Crossref

Google Scholar

[7]

C. Lanczos, 'An iteration method for the solution of the eigenvalue problem of linear differential and integral operators', J. Res. Nat. Bur. Stand., 45, 255-282 (1950).

Crossref

Google Scholar

[8]

M. Luby, 'A simple parallel algorithm for the maximal independent set problem', SIAM J. Comput., Vol. 15, No. 4, (1986).

Digital Library

Google Scholar

[9]

C. C. Paige and M. A. Saunders, 'Solution of sparse indefinite systems of linear equations', SIAM J. Numer. Anal., Vol. 12, 617-629 (1974).

Digital Library

Google Scholar

[10]

B. N. Parlett, 'The Rayleigh quotient iteration and some generalizations for nonnormal matrices', Math Comp., 28(127), 679- 693 (1974).

Crossref

Google Scholar

[11]

B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice Hall, Englewood Cliffs, New Jersey, 1980.

Digital Library

Google Scholar

[12]

H. Gazit, 'Randomized parallel connectivity', in Synthesis of Parallel Applications, ed. by J. H. Reif, 197-214, Morgan Kaufmann Publishers, Inc., 1993.

Google Scholar

[13]

H. Simon, 'Partitioning unstructured problems for parallel processing', Comput. Syst. Eng., 2(2/3), 135-148 (1991).

Crossref

Google Scholar

[14]

Numerical Recipes in C, Second Edition, W. H. Press, S. A. Teukolosky, W. T. Vetterling, and B. P. Flannery, Cambridge University Press, 1994.

Google Scholar

Cited By

View all

Choudhary PGarg K(2021)Tensor Data Imputation by PARAFAC with Updated Chaotic Biases by Adam OptimizerInternational Journal of Recent Technology and Engineering10.35940/ijrte.E5291.0396219:6(30-38)Online publication date: 30-Mar-2021
https://doi.org/10.35940/ijrte.E5291.039621
Bohra NBhatnagar V(2021)Group level social media popularity prediction by MRGB and Adam optimizationJournal of Combinatorial Optimization10.1007/s10878-020-00684-z41:2(328-347)Online publication date: 3-Jan-2021
https://doi.org/10.1007/s10878-020-00684-z
Figueroa-Lorenzo SAñorga JArrizabalaga S(2020)A Survey of IIoT ProtocolsACM Computing Surveys10.1145/338103853:2(1-53)Online publication date: 26-Apr-2020
https://dl.acm.org/doi/10.1145/3381038
Show More Cited By

Index Terms

Recommendations

OpenMP for Networks of SMPs

In this paper, we present the first system that implements OpenMP on a network of shared-memory multiprocessors. This system enables the programmer to rely on a single, standard, shared-memory API for parallelization within a multiprocessor and between ...
SPMD OpenMP versus MPI on a IBM SMP for 3 Kernels of the NAS Benchmarks
ISHPC '02: Proceedings of the 4th International Symposium on High Performance Computing

Shared Memory Multiprocessors are becoming more popular since they are used to deploy large parallel computers. The current trend is to enlarge the number of processors inside such multiprocessor nodes. However a lot of existing applications are using ...
SPMD OpenMP versus MPI on a IBM SMP for 3 Kernels of the NAS Benchmarks
ISHPC '02: Proceedings of the 4th International Symposium on High Performance Computing

Shared Memory Multiprocessors are becoming more popular since they are used to deploy large parallel computers. The current trend is to enlarge the number of processors inside such multiprocessor nodes. However a lot of existing applications are using ...

Comments

Information & Contributors

Information

Published In

Supercomputing '95: Proceedings of the 1995 ACM/IEEE conference on Supercomputing

December 1995

875 pages

ISBN:0897918169

DOI:10.1145/224170

Chairman:
Sid Karin
San Diego Supercomputer Center, San Diego, CA

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 December 1995

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Qualifiers

Article

Conference

SC '95

Sponsor:

SIGARCH
IEEE-CS

SC '95: International Conference for High Performance Computing, Networking, Storage and Analysis

December 4 - 8, 1995

California, San Diego, USA

Acceptance Rates

Supercomputing '95 Paper Acceptance Rate 69 of 241 submissions, 29%;

Overall Acceptance Rate 1,516 of 6,373 submissions, 24%

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

50
Total Citations
View Citations
415
Total Downloads

Downloads (Last 12 months)27
Downloads (Last 6 weeks)3

Reflects downloads up to 30 Aug 2024

Other Metrics

View Author Metrics

Citations

Cited By

View all

Choudhary PGarg K(2021)Tensor Data Imputation by PARAFAC with Updated Chaotic Biases by Adam OptimizerInternational Journal of Recent Technology and Engineering10.35940/ijrte.E5291.0396219:6(30-38)Online publication date: 30-Mar-2021
https://doi.org/10.35940/ijrte.E5291.039621
Bohra NBhatnagar V(2021)Group level social media popularity prediction by MRGB and Adam optimizationJournal of Combinatorial Optimization10.1007/s10878-020-00684-z41:2(328-347)Online publication date: 3-Jan-2021
https://doi.org/10.1007/s10878-020-00684-z
Figueroa-Lorenzo SAñorga JArrizabalaga S(2020)A Survey of IIoT ProtocolsACM Computing Surveys10.1145/338103853:2(1-53)Online publication date: 26-Apr-2020
https://dl.acm.org/doi/10.1145/3381038
Herodotou HChen YLu J(2020)A Survey on Automatic Parameter Tuning for Big Data Processing SystemsACM Computing Surveys10.1145/338102753:2(1-37)Online publication date: 26-Apr-2020
https://dl.acm.org/doi/10.1145/3381027
Suaboot JFahad ATari ZGrundy JMahmood AAlmalawi AZomaya ADrira K(2020)A Taxonomy of Supervised Learning for IDSs in SCADA EnvironmentsACM Computing Surveys10.1145/337949953:2(1-37)Online publication date: 17-Apr-2020
https://dl.acm.org/doi/10.1145/3379499
Bonifati AHolubová IPrat-Pérez ASakr S(2020)Graph GeneratorsACM Computing Surveys10.1145/337944553:2(1-30)Online publication date: 17-Apr-2020
https://dl.acm.org/doi/10.1145/3379445
Valejo AFerreira VFabbri ROliveira MLopes A(2020)A Critical Survey of the Multilevel Method in Complex NetworksACM Computing Surveys10.1145/337934753:2(1-35)Online publication date: 17-Apr-2020
https://dl.acm.org/doi/10.1145/3379347
Sahin EStoykova EMäkinen JGotchev A(2020)Computer-Generated Holograms for 3D ImagingACM Computing Surveys10.1145/337844453:2(1-35)Online publication date: 20-Mar-2020
https://dl.acm.org/doi/10.1145/3378444
Papadakis GSkoutas DThanos EPalpanas T(2020)Blocking and Filtering Techniques for Entity ResolutionACM Computing Surveys10.1145/337745553:2(1-42)Online publication date: 20-Mar-2020
https://dl.acm.org/doi/10.1145/3377455
Verbraeken JWolting MKatzy JKloppenburg JVerbelen TRellermeyer J(2020)A Survey on Distributed Machine LearningACM Computing Surveys10.1145/337745453:2(1-33)Online publication date: 20-Mar-2020
https://dl.acm.org/doi/10.1145/3377454
Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

HTML Format

View this article in HTML Format.

HTML Format

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Cited By

Index Terms

Recommendations

OpenMP for Networks of SMPs

SPMD OpenMP versus MPI on a IBM SMP for 3 Kernels of the NAS Benchmarks

SPMD OpenMP versus MPI on a IBM SMP for 3 Kernels of the NAS Benchmarks

Comments

Published In

Sponsors

Publisher

Publication History

Permissions

Check for updates

Qualifiers

Conference

Acceptance Rates

Other Metrics

Article Metrics

Other Metrics

Cited By

PDF

eReader

HTML Format

Login options

Full Access

Abstract

References

Cited By

Index Terms

Recommendations

OpenMP for Networks of SMPs

SPMD OpenMP versus MPI on a IBM SMP for 3 Kernels of the NAS Benchmarks

SPMD OpenMP versus MPI on a IBM SMP for 3 Kernels of the NAS Benchmarks

Comments

Information

Published In

Sponsors

Publisher

Publication History

Permissions

Check for updates

Qualifiers

Conference

Acceptance Rates

Contributors

Other Metrics

Bibliometrics

Article Metrics

Other Metrics

Citations

Cited By

View options

PDF

eReader

HTML Format

Get Access

Login options

Full Access

Figures

Other

Share

Share this Publication link

Share on social media

Affiliations