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The Matrix Template Library: A Unifying Framework for Numerical Linear Algebra

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Object-Oriented Technology: ECOOP’98 Workshop Reader (ECOOP 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1543))

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Abstract

The traditional approach to writing basic linear algebra routines is a combinatorial affair. There are typically four precision types that need to be handled (single and double precision real, single and double precision complex), several dense storage types (general, banded, packed), a multitude of sparse storage types (the Sparse BLAS Standard Proposal includes 13 [1], as well as row and column orientations for each matrix type. It is no wonder the NIST implementation of the Sparse BLAS [5] contains over 10,000 routines and an automatic code generation system.

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References

  1. BLAS Standard Draft Chapter 3: Sparse BLAS. Technical report, Basic Linear Algebra Subprograms Technical Forum, December 1997.

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  2. J. Dongarra, J. Du Croz, I. Duff, and S. Hammarling. A set of level 3 basic linear algebra subprograms. ACM Transactions on Mathematical Software, 16(1):1–17, 1990.

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  3. J. Dongarra, J. Du Croz, S. Hammarling, and R. Hanson. Algorithm 656: An extended set of basic linear algebra subprograms: Model implementations and test programs. ACM Transactions on Mathematical Software, 14(1): 18–32, 1988.

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  4. Meng Lee and Alexander Stepanov. The standard template library. Technical report, HP Laboratories, February 1995.

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  5. Karen A. Remington and Roldan Pozo. NIST Sparse BLAS User’s Guide. National Institute of Standards and Technology.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, University of Notre Dame, Notre Dame, IN, 46556

    Jeremy G. Siek & Andrew Lumsdaine

Authors
  1. Jeremy G. Siek
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  2. Andrew Lumsdaine
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Editor information

Editors and Affiliations

  1. University of Berne, Neubruckstr. 10, CH-3012, Berne, Switzerland

    Serge Demeyer

  2. Softcenter, University of Karlskrona/Ronneby, S-372 25, Ronneby, Sweden

    Jan Bosch

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© 1998 Springer-Verlag Berlin Heidelberg

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Siek, J.G., Lumsdaine, A. (1998). The Matrix Template Library: A Unifying Framework for Numerical Linear Algebra. In: Demeyer, S., Bosch, J. (eds) Object-Oriented Technology: ECOOP’98 Workshop Reader. ECOOP 1998. Lecture Notes in Computer Science, vol 1543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49255-0_152

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  • DOI: https://doi.org/10.1007/3-540-49255-0_152

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65460-5

  • Online ISBN: 978-3-540-49255-9

  • eBook Packages: Springer Book Archive

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