An updated set of basic linear algebra subprograms (BLAS)

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An updated set of basic linear algebra subprograms (BLAS)
Full text	Pdf (138 KB)
Source	ACM Transactions on Mathematical Software (TOMS) archive Volume 28 , Issue 2 (June 2002) table of contents Pages: 135 - 151 Year of Publication: 2002 ISSN:0098-3500
Publisher	ACM New York, NY, USA
Bibliometrics	Downloads (6 Weeks): 23, Downloads (12 Months): 127, Citation Count: 19

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	HP BLAS. http://www.compaq.com/math/documentation/cxml/dxml.3dxml.html.
	2	IBM BLAS. http://www-1.ibm.com/servers/eserver/pseries/library/sp_books/essl.html.
	3	Intel BLAS. http://developer.intel.com/software/products/mkl/mkl52/index.htm.
	4	SGI BLAS. http://www.sgi.com/software/scsl.html.
	5	SUN BLAS. http://docs.sun.com/htmlcoll/coll.118.3/iso-8859-1/PERFLIBUG/plug_bookTOC.html.
	6	E. Anderson , Z. Bai , C. Bischof , L. S. Blackford , J. Demmel , Jack J. Dongarra , J. Du Croz , S. Hammarling , A. Greenbaum , A. McKenney , D. Sorensen, LAPACK Users' guide (third ed.), Society for Industrial and Applied Mathematics, Philadelphia, PA, 1999
	7	ANSI/IEEE Std 754--1985. IEEE Standard for Binary Floating Point Arithmetic.
	8	Blackford, S., Corliss, G., Demmel., J., Dongarra, J., Duff, I., Hammarling, S., Henry, G., Heroux, M., Hu, C., Kahan, W., Kaufmann, L., Kearfott, B., Krogh, F., Li, X., Maany, Z., Petitet, A., Pozo, R., Remington, K., Walster, W., Whaley, C., Wolff, V., Gudenberg, J., and Lumsdaine, A. 2002. Basic Linear Algebra Subprograms Technical (BLAST) Forum Standard. Int. J. High Perform. Comput. 16, 1--2. (also available at www.netlib.org/blas/blast-forum).
	9	James W. Demmel, Applied numerical linear algebra, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1997
	10	David S. Dodson, Corrigendum: Remark on “Algorithm 539: Basic Linear Algebra Subroutines for FORTRAN Usage”, ACM Transactions on Mathematical Software (TOMS), v.9 n.1, p.140, March 1983 [doi>10.1145/356022.356032]
	11	David S. Dodson , Roger G. Grimes, Remark on “Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage”, ACM Transactions on Mathematical Software (TOMS), v.8 n.4, p.403-404, Dec. 1982 [doi>10.1145/356012.356020]
	12	David S. Dodson , Roger G. Grimes , John G. Lewis, Sparse extensions to the FORTRAN Basic Linear Algebra Subprograms, ACM Transactions on Mathematical Software (TOMS), v.17 n.2, p.253-263, June 1991 [doi>10.1145/108556.108577]
	13	Dongarra, J. J., Bunch, J. R., Moler, C. B., and Stewart, G. W. 1979. LINPACK Users' Guide. Society for Industrial and Applied Mathematics, Philadelphia, Pa.
	14	J. J. Dongarra , Jeremy Du Croz , Sven Hammarling , I. S. Duff, A set of level 3 basic linear algebra subprograms, ACM Transactions on Mathematical Software (TOMS), v.16 n.1, p.1-17, March 1990 [doi>10.1145/77626.79170]
	15	Jack J. Dongarra , Jeremy Du Croz , Sven Hammarling , Richard J. Hanson, An extended set of FORTRAN basic linear algebra subprograms, ACM Transactions on Mathematical Software (TOMS), v.14 n.1, p.1-17, March 1988 [doi>10.1145/42288.42291]
	16	Iain S. Duff , Michael A. Heroux , Roldan Pozo, An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum, ACM Transactions on Mathematical Software (TOMS), v.28 n.2, p.239-267, June 2002 [doi>10.1145/567806.567810]
	17	Iain S. Duff , Michele Marrone , Giuseppe Radicati , Carlo Vittoli, Level 3 basic linear algebra subprograms for sparse matrices: a user-level interface, ACM Transactions on Mathematical Software (TOMS), v.23 n.3, p.379-401, Sept. 1997 [doi>10.1145/275323.275327]
	18	Gene H. Golub , Charles F. Van Loan, Matrix computations (3rd ed.), Johns Hopkins University Press, Baltimore, MD, 1996
	19	Nicholas J. Higham, Accuracy and Stability of Numerical Algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1996
	20	Bo Kågström , Per Ling , Charles van Loan, GEMM-based level 3 BLAS: high-performance model implementations and performance evaluation benchmark, ACM Transactions on Mathematical Software (TOMS), v.24 n.3, p.268-302, Sept. 1998 [doi>10.1145/292395.292412]
	21	Bo Kågström , Charles van Loan, Algorithm 784: GEMM-based level 3 BLAS: portability and optimization issues, ACM Transactions on Mathematical Software (TOMS), v.24 n.3, p.303-316, Sept. 1998 [doi>10.1145/292395.292426]
	22	C. L. Lawson , R. J. Hanson , D. R. Kincaid , F. T. Krogh, Basic Linear Algebra Subprograms for Fortran Usage, ACM Transactions on Mathematical Software (TOMS), v.5 n.3, p.308-323, Sept. 1979 [doi>10.1145/355841.355847]
	23	Xiaoye S. Li , James W. Demmel , David H. Bailey , Greg Henry , Yozo Hida , Jimmy Iskandar , William Kahan , Suh Y. Kang , Anil Kapur , Michael C. Martin , Brandon J. Thompson , Teresa Tung , Daniel J. Yoo, Design, implementation and testing of extended and mixed precision BLAS, ACM Transactions on Mathematical Software (TOMS), v.28 n.2, p.152-205, June 2002 [doi>10.1145/567806.567808]
	24	Robert III, H. M., Evans, W. J., Honemann, D. H., and Balch, T. J. 2000. Robert's Rules of Order 10th ed. Perseus Book Group

CITED BY 19

	Philippe Langlois, More accuracy at fixed precision, Journal of Computational and Applied Mathematics, v.162 n.1, p.57-77, 1 January 2004
	Joël M. Malard, Parallel restricted maximum likelihood estimation for linear models with a dense exogenous matrix, Parallel Computing, v.28 n.2, p.343-353, February 2002
	Valérie Frayssé , Luc Giraud , Serge Gratton , Julien Langou, Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers, ACM Transactions on Mathematical Software (TOMS), v.31 n.2, p.228-238, June 2005
	Lamia Youseff , Keith Seymour , Haihang You , Jack Dongarra , Rich Wolski, The impact of paravirtualized memory hierarchy on linear algebra computational kernels and software, Proceedings of the 17th international symposium on High performance distributed computing, June 23-27, 2008, Boston, MA, USA
	Inderjit S. Dhillon , Beresford N. Parlett , Christof Vömel, The design and implementation of the MRRR algorithm, ACM Transactions on Mathematical Software (TOMS), v.32 n.4, p.533-560, December 2006
	Brian Borchers , Joseph G. Young, Implementation of a primal—dual method for SDP on a shared memory parallel architecture, Computational Optimization and Applications, v.37 n.3, p.355-369, July 2007
	James M. Willenbring , Michael A. Heroux , Robert T. Heaphy, The Trilinos Software Lifecycle Model, Proceedings of the 3rd International Workshop on Software Engineering for High Performance Computing Applications, p.6, May 20-26, 2007
	J. De Zaeytijd , I. Bogaert , A. Franchois, An efficient hybrid MLFMA-FFT solver for the volume integral equation in case of sparse 3D inhomogeneous dielectric scatterers, Journal of Computational Physics, v.227 n.14, p.7052-7068, July, 2008
	Valérie Frayssé , Luc Giraud , Serge Gratton, Algorithm 881: A Set of Flexible GMRES Routines for Real and Complex Arithmetics on High-Performance Computers, ACM Transactions on Mathematical Software (TOMS), v.35 n.2, p.1-12, July 2008
	Gary W. Howell , James W. Demmel , Charles T. Fulton , Sven Hammarling , Karen Marmol, Cache efficient bidiagonalization using BLAS 2.5 operators, ACM Transactions on Mathematical Software (TOMS), v.34 n.3, p.1-33, May 2008
	Parry Husbands , Katherine Yelick, Multi-threading and one-sided communication in parallel LU factorization, Proceedings of the 2007 ACM/IEEE conference on Supercomputing, November 10-16, 2007, Reno, Nevada
	Lakshminarayanan Renganarayana , Sanjay Rajopadhye, Positivity, posynomials and tile size selection, Proceedings of the 2008 ACM/IEEE conference on Supercomputing, November 15-21, 2008, Austin, Texas
	Marco Caliari , Stefanode Marchi , Marco Vianello, Algorithm 886: Padua2D---Lagrange Interpolation at Padua Points on Bivariate Domains, ACM Transactions on Mathematical Software (TOMS), v.35 n.3, p.1-11, October 2008
	Paolo D'Alberto , Alexandru Nicolau, Adaptive Winograd's matrix multiplications, ACM Transactions on Mathematical Software (TOMS), v.36 n.1, p.1-23, March 2009
	Souji Koikari, Algorithm 894: On a block Schur--Parlett algorithm for ϕ-functions based on the sep-inverse estimate, ACM Transactions on Mathematical Software (TOMS), v.36 n.2, p.1-20, March 2009
	L. Anthony Drummond , Vicente Galiano , Violeta Migallón , Jose Penadés, Interfaces for parallel numerical linear algebra libraries in high level languages, Advances in Engineering Software, v.40 n.8, p.652-658, August, 2009
	Laurent Plagne , Frank Hülsemann , Denis Barthou , Julien Jaeger, Parallel expression template for large vectors, Proceedings of the 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing, p.1-8, July 07-07, 2009, Genova, Italy
	Lamia Youseff , Keith Seymour , Haihang You , Dmitrii Zagorodnov , Jack Dongarra , Rich Wolski, Paravirtualization effect on single- and multi-threaded memory-intensive linear algebra software, Cluster Computing, v.12 n.2, p.101-122, June 2009
	C. G. Baker , U. L. Hetmaniuk , R. B. Lehoucq , H. K. Thornquist, Anasazi software for the numerical solution of large-scale eigenvalue problems, ACM Transactions on Mathematical Software (TOMS), v.36 n.3, p.1-23, July 2009

INDEX TERMS

Primary Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS
G.1.3 Numerical Linear Algebra

Additional Classification:
G. Mathematics of Computing
G.4 MATHEMATICAL SOFTWARE

General Terms:
Algorithms, Standardization

Keywords:
BLAS, linear algebra, standards

REVIEW

"Jesse Louis Barlow : Reviewer"

The basic linear algebra subroutines (BLAS) have become an essential part of the development of numerical software in Fortran, and in other languages that have versions of them. Their beauty has always been that computer manufacturers have been en more...

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