References

1

E. Anderson, Z. Bai, C. H. Bischof, J. Demmel, J. J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov, and D. C. Sorensen. LAPACK Users' Guide. SIAM, Philadelphia, PA, USA, 2nd edition, 1995. (Also available in Japanese, published by Maruzen, Tokyo, translated by Dr Oguni).

2

J. Choi, J. Demmel, I. Dhillon, J. J. Dongarra, S. Ostrouchov, A. Petitet, K. Stanley, D. W. Walker, and R. C. Whaley. ScaLAPACK: A portable linear algebra library for distributed memory computers - design issues and performance. In J. J. Dongarra, K. Masden, and J. Wasniewski, editors, Applied Parallel Computing, pages 95-106. Springer-Verlag, Berlin, Germany, 1995. (Proceedings of the Second International Workshop, PARA '95, Lyngby, Denmark. See also LAPACK Working Note No.95).

3

J. Choi, J. J. Dongarra, S. Ostrouchov, A. Petitet, D. W. Walker, and R. C. Whaley. A proposal for a set of parallel basic linear algebra subprograms. In J. J. Dongarra, K. Masden, and J. Wasniewski, editors, Applied Parallel Computing, pages 107-114. Springer-Verlag, Berlin, Germany, 1995. (Proceedings of the Second International Workshop, PARA '95, Lyngby, Denmark. See also LAPACK Working Note No.100).

4

J. Demmel, I. Dhillon, and H. Ren. On the correctness of parallel bisection in floating point. ETNA, 3:116-149, 1995. (See also LAPACK Working Note No.70).

5

J. Demmel, J. J. Dongarra, S. Hammarling, S. Ostrouchov, and K. Stanley. The dangers of heterogeneous network computing: Heterogenous networks considered harmful. In Proceedings Heterogeneous Computing Workshop '96, pages 64-71. IEEE Computer Society Press, Los Alamitos, CA, USA, 1996.

6

J. J. Dongarra, J. Du Croz, I. S. Duff, and S. Hammarling. A set of Level 3 Basic Linear Algebra Subprograms. ACM Trans. Math. Software, 16:1-28, 1990. (Algorithm 679).

7

J. J. Dongarra, J. Du Croz, S. Hammarling, and R. J. Hanson. An extended set of FORTRAN Basic Linear Algebra Subprograms. ACM Trans. Math. Software, 14:1-32, 399, 1988. (Algorithm 656).

8

J. J. Dongarra and R. C. Whaley. A users' guide to the BLACS v1.0. LAPACK Working Note No.94. Technical Report CS-95-281, Department of Computer Science, University of Tennessee, 107 Ayres Hall, Knoxville, TN 37996-1301, USA, 1995.

9

A. Geist, A. Beguelin, J. J. Dongarra, W. Jiang, R. Manchek, and V. Sunderam. PVM: Parallel Virtual Machine. A Users' Guide and Tutorial for Networked Parallel Computing. MIT Press, Cambridge, MA, USA, 1994.

10

G. H. Golub and C. F. Van Loan. Matrix Computations. The Johns Hopkins University Press, Baltimore, MD, USA, 2nd edition, 1989.

11

S. Hammarling. Parallel library work at NAG. In J. J. Dongarra and B. Tourancheau, editors, Environments and Tools for Parallel Scientific Computing, pages 172-182. SIAM, Philadelphia, PA, USA, 1994. (Proceedings of the Second Workshop, Townsend, TN, USA).

12

N. J. Higham. Accuracy and Stability of Numerical Algorithms. SIAM, Philadelphia, PA, USA, 1996.

13

IEEE. ANSI/IEEE Standard for Binary Floating Point Arithmetic: Std 754-1985. IEEE Press, New York, NY, USA, 1985.

14

IEEE. ANSI/IEEE Standard for Radix Independent Floating Point Arithmetic: Std 854-1987. IEEE Press, New York, NY, USA, 1987.

15

IEEE. IEEE Standard for Shared-Data Formats Optimized for Scalable Coherent Interface (SCI) Processors: Std 1596.5-1993. IEEE Press, New York, NY, USA, 1994.

16

C. L. Lawson, R. J. Hanson, D. Kincaid, and F. T. Krogh. Basic Linear Algebra Subprograms for FORTRAN usage. ACM Trans. Math. Software, 5:308-323, 1979.

17

K. McDonald. The NAG numerical PVM library. In J. J. Dongarra, K. Masden, and J. Wasniewski, editors, Applied Parallel Computing, pages 419-428. Springer-Verlag, Berlin, Germany, 1995. (Proceedings of the Second International Workshop, PARA '95, Lyngby, Denmark).

18

M. Snir, S. W. Otto, S. Huss-Lederman, D. W. Walker, and J. J. Dongarra. MPI: The Complete Reference. MIT Press, Cambridge, MA, USA, 1996.

19

SunSoft. The XDR Protocol Specification. Appendix A of ``Network Interfaces Programmer's Guide''. SunSoft, 1993.