[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content
Springer Nature Link
Log in

Empirical Modelling of Parallel Linear Algebra Routines

  • Conference paper
Parallel Processing and Applied Mathematics (PPAM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3019))

Abstract

This paper shows some ways of combining empirical studies with the theoretical modellization of parallel linear algebra routines. With this combination the accuracy of the model is improved, and the model can be used to take some decisions which facilitate the reduction of the execution time. Experiments with the QR and Cholesky factorizations are shown.

This work has been funded in part by CICYT, project number TIC2000/1683-C03, and Fundación Séneca, project number PI-34/00788/FS/01, and has been developed using the systems of the CEPBA, the CESCA and the ICL at the University of Tennessee.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 71.50
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 89.99
Price includes VAT (United Kingdom)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Alberti, P., Alonso, P., Vidal, A., Cuenca, J., García. L. P., Giménez, D.: Designing polylibraries to speed up linear algebra computations, TR LSI 1-2003, Departamento de Lenguajes y Sistemas Informáticos, Universidad de Murcia (2003), dis.um.es/~domingo/investigacion.html

  2. Cuenca, J., Giménez, D., González, J., Dongarra, J., Roche, K.: Automatic Optimisation of Parallel Linear Algebra Routines in Systems with Variable Load. In: 11th EUROMICRO Workshop on Parallel, Distributed and Networked Processing PDP 2003, pp. 409–416. IEEE, Los Alamitos (2003)

    Google Scholar 

  3. Dackland, K., Kågström, B.: A Hierarchical Approach for Performance Analysis of ScaLAPACK-based Routines Using the Distributed Linear Algebra Machine. In: Madsen, K., Olesen, D., Waśniewski, J., Dongarra, J. (eds.) PARA 1996. LNCS, vol. 1184. Springer, Heidelberg (1996)

    Google Scholar 

  4. Dongarra, J.: Self Adapting Numerical Software (SANS) for Grid Computing. Innovative Computing Laboratory, University of Tennessee (2002), http://icl.utk.edu/iclprojects/pages/sans.html

  5. Kvasnicka, D.F., Ueberhuber, C.W.: Developing Architecture Adaptive Algorithms using Simulation with MISS-PVM for Performance Prediction. In: 11th ACM Conference on Supercomputing (1997)

    Google Scholar 

  6. Zhang, Y., Chen, Y.: Block Size Selection of Parallel LU and QR on PVP-based and RISC-based Supercomputers, R & D Center for Parallel Software, Institute of Software, Beijing, China, pp. 100–117 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Ingeniería y Tecnología de Computadores, Universidad de Murcia, Apartado 4021, 30001, Murcia, Spain

    Javier Cuenca

  2. Servicio de Apoyo a la Investigación Tecnológica, Universidad Politécnica de Cartagena. Paseo Alfonso XIII, 30203, Cartagena, Murcia, Spain

    Luis-Pedro García

  3. Departamento de Informática y Sistemas, Universidad de Murcia, Apartado 4021, 30001, Murcia, Spain

    Domingo Giménez

  4. Intel Barcelona Research Center Intel Labs, Barcelona

    José González

  5. Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Cno. Vera s/n, 46022, Valencia, Spain

    Antonio Vidal

Authors
  1. Javier Cuenca
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luis-Pedro García
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Domingo Giménez
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. José González
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Antonio Vidal
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Computational and Information Sciences, Czestochowa University of Technology,  

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, TN 37996-3450, Knoxville, USA

    Jack Dongarra

  3. Systems Research Institute, Polish Academy of Science, Warsaw, Poland

    Marcin Paprzycki

  4. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cuenca, J., García, LP., Giménez, D., González, J., Vidal, A. (2004). Empirical Modelling of Parallel Linear Algebra Routines. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24669-5_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21946-0

  • Online ISBN: 978-3-540-24669-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation