A proposal for an extended set of Fortran Basic Linear Algebra Subprograms

ABSTRACT

This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions proposed are targeted at matrix vector operations which should provide for more efficient and portable implementations of algorithms for high performance computers.

REFERENCES

• 1: C. Daly and J. J. Du Croz. "Performance of a Subroutine Library on Vector- Processing Machines". To be published in Computer Physics Communications.
• 2: Jack J. Dongarra , Stanley C. Eisenstat, Squeezing the most out of an algorithm in CRAY FORTRAN, ACM Transactions on Mathematical Software (TOMS), v.10 n.3, p.219-230, Sept. 1984 [doi>10.1145/1271.319413]
• 3: Jack J. Dongarra, Increasing the performance of mathematical software through high-level modularity, Proc. of the sixth int'l. symposium on Computing methods in applied sciences and engineering, VI, p.239-247, June 1985, Versailles, France
• 4: J. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W. Stewart, LINPACK Users' Guide, SIAM Publications, Philadelphia, 1979.
• 5: J. J. Dongarra, F. G. Gustavson, and A. Karp. "Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine". SIAM Review, 26, 91--112 (1984).
• 6: B. S. Garbow, J. M. Boyle, J. J. Dongarra, C. B. Moler, Matrix Eigensystem Routines - EISPACK Guide Extension, Lecture Notes in Computer Science, Vol. 51, Springer-Verlag, Berlin, 1977.
• 7: 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]
• 8: C. L. Lawson , R. J. Hanson , F. T. Krogh , D. R. Kincaid, Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1], ACM Transactions on Mathematical Software (TOMS), v.5 n.3, p.324-325, Sept. 1979 [doi>10.1145/355841.355848]
• 9: B. T. Smith, J. M. Boyle, J. J. Dongarra, B. S. Garbow, Y. Ikebe, V. C. Klema, and C. B. Moler, Matrix Eigensystem Routines - EISPACK Guide, Lecture Notes in Computer Science, Vol. 6, 2nd edition, Springer-Verlag, Berlin, 1976.