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Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1]
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 5 ,  Issue 3  (September 1979) table of contents
Pages: 324 - 325  
Year of Publication: 1979
ISSN:0098-3500
Authors
C. L. Lawson  Jet Propulsion Laboratory, M/S 125-128, 4800 Oak Grove Drive, Pasadena, CA
R. J. Hanson  Numerical Mathematics, Div. 5122, Sandia Laboratories, Albuquerque, NM
F. T. Krogh  Jet Propulsion Laboratory, M/S 125-128, 4800 Oak Grove Drive, Pasadena, CA
D. R. Kincaid  Center for Numerical Analysis, The University of Texas at Austin, Austin, TX
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 6,   Downloads (12 Months): 59,   Citation Count: 29
Additional Information:

appendices and supplements   references   cited by   index terms   collaborative colleagues  

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APPENDICES and SUPPLEMENTS
gZipBLAS (Basic Linear Algebra Subprograms) (539.gz) (124 KB)
basic operations of numerical linear algebra, including dot product, Givens transformations, vector copy, swap, norm, and scaling, and determination of the component of largest magnitude
Gams: D1a


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
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]

CITED BY  29
Dingju Chen, Hierarchical blocking and data flow analysis for numerical linear algebra, Proceedings of the 1990 conference on Supercomputing, p.12-19, October 1990, New York, New York, United States
W. S. Brown, A Simple but Realistic Model of Floating-Point Computation, ACM Transactions on Mathematical Software (TOMS), v.7 n.4, p.445-480, Dec. 1981
Tim Hopkins, Renovating the collected algorithms from ACM, ACM Transactions on Mathematical Software (TOMS), v.28 n.1, p.59-74, March 2002
Michael N. Vrahatis, Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations, ACM Transactions on Mathematical Software (TOMS), v.14 n.4, p.330-336, Dec. 1988
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
Aart J. C. Bik , Peter J. H. Brinkhaus , Peter M. W. Knijnenburg , Harry A. G. Wijshoff, The automatic generation of sparse primitives, ACM Transactions on Mathematical Software (TOMS), v.24 n.2, p.190-225, June 1998
Peter Mayes , Giuseppi Radicati di Brozolo, Portable and efficient factorization algorithms on the IBM 3090/VF, Proceedings of the 3rd international conference on Supercomputing, p.263-270, June 05-09, 1989, Crete, Greece
Glenn R. Luecke , Jae H. Yun , Howard W. Jespersen, Performance comparisons of Cholesky factorization algorithms using level-2 & 3 BLAS on the national advanced systems AS/XL Vector computer, Proceedings of the 3rd international conference on Supercomputing, p.254-262, June 05-09, 1989, Crete, Greece
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
Paul H. Calamai , Luis N. Vicente, Algorithm 728; FORTRAN subroutines for generating quadratic bilevel programming test problems, ACM Transactions on Mathematical Software (TOMS), v.20 n.1, p.120-123, March 1994
M. J. Daydé , I. S. Duff, Use of parallel level 3 BLAS in LU factorization on three vector multiprocessors the ALLIANT FX/80, the CRAY-2, and the IBM 3090 VF, ACM SIGARCH Computer Architecture News, v.18 n.3b, p.82-95, Sept. 1990
Margreet Louter-Nool, ALGORITHM 663. Translation of Algorithm 539: basic linear algebra subprograms for FORTRAN usage in FORTRAN 200 for the Cyber 205, ACM Transactions on Mathematical Software (TOMS), v.14 n.2, p.177-195, June 1988
Ronald F. Boisvert , Jack J. Dongarra, Preface to the special issue on the basic linear algebra subprograms (BLAS), ACM Transactions on Mathematical Software (TOMS), v.28 n.2, p.133-134, June 2002
Christopher C. Paige , Michael A. Saunders, Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.195-209, June 1982
Christopher C. Paige , Michael A. Saunders, Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.195-209, June 1982
M. Vanbegin , M. Verhaegen, Algorithm 675: Fortran subroutines for computing the square root covariance filter and square root information filter in dense or Hessenberg forms, ACM Transactions on Mathematical Software (TOMS), v.15 n.3, p.243-256, Sept. 1989
David S. Dodson , Roger G. Grimes , John G. Lewis, Algorithm 692; model implementation and test package for the Sparse Basic Linear Algebra Subprograms, ACM Transactions on Mathematical Software (TOMS), v.17 n.2, p.264-272, June 1991
Yu Hu , S. Lennart Johnsson, A data-parallel implementation of O(N) hierarchical N-body methods, Proceedings of the 1996 ACM/IEEE conference on Supercomputing (CDROM), p.2-es, January 01-01, 1996, Pittsburgh, Pennsylvania, United States
Richard J. Hanson , Tim Hopkins, Algorithm 830: Another visit with standard and modified givens transformations and a remark on algorithm 539, ACM Transactions on Mathematical Software (TOMS), v.30 n.1, p.86-94, March 2004
I. Barrodale , G. F. Stuart, Algorithm 576: A FORTRAN Program for Solving Ax=b[F4], ACM Transactions on Mathematical Software (TOMS), v.7 n.3, p.391-397, Sept. 1981
P. Van Dooren, Algorithm 590: DSUBSP and EXCHQZ: FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum, ACM Transactions on Mathematical Software (TOMS), v.8 n.4, p.376-382, Dec. 1982
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
Michel J. Daydé , Iain S. Duff , Antoine Petitet, A parallel block implementation of Level-3 BLAS for MIMD vector processors, ACM Transactions on Mathematical Software (TOMS), v.20 n.2, p.178-193, June 1994
Jack Dongarra , Jeremy Du Croz , Iain Duff , Sven Hammarling, A proposal for a set of level 3 basic linear algebra subprograms, ACM SIGNUM Newsletter, v.22 n.3, p.2-14, July 1987
Jack J. Dongarra , Jeremy Du Croz , Sven Hammarling , Richard J. Hanson, A proposal for an extended set of Fortran Basic Linear Algebra Subprograms, ACM SIGNUM Newsletter, v.20 n.1, p.2-18, January 1985
J. Dongarra , G. Bosilca , Z. Chen , V. Eijkhout , G. E. Fagg , E. Fuentes , J. Langou , P. Luszczek , J. Pjesivac-Grbovic , K. Seymour , H. You , S. S. Vadhiyar, Self-adapting numerical software (SANS) effort, IBM Journal of Research and Development, v.50 n.2/3, p.223-238, March 2006
Nelson H. F. Beebe , James S. Ball, Algorithm 867: QUADLOG—a package of routines for generating Gauss-related quadrature for two classes of logarithmic weight functions, ACM Transactions on Mathematical Software (TOMS), v.33 n.3, p.20-es, August 2007
Brian Blount , Siddhartha Chatterjee, An evaluation of Java for numerical computing, Scientific Programming, v.7 n.2, p.97-110, April 1999
Shava Smallen , Catherine Olschanowsky , Kate Ericson , Pete Beckman , Jennifer M. Schopf, The Inca Test Harness and Reporting Framework, Proceedings of the 2004 ACM/IEEE conference on Supercomputing, p.55, November 06-12, 2004

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing

Additional Classification:
  D. Software
  D.3 PROGRAMMING LANGUAGES
      D.3.2 Language Classifications

          Nouns: FORTRAN

  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.3 Numerical Linear Algebra
          Subjects: Linear systems (direct and iterative methods)


General Terms:
Algorithms, Languages, Theory

Collaborative Colleagues:
C. L. Lawson: colleagues
R. J. Hanson: colleagues
F. T. Krogh: colleagues
D. R. Kincaid: colleagues

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