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A set of level 3 basic linear algebra subprograms
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 16 ,  Issue 1  (March 1990) table of contents
Pages: 1 - 17  
Year of Publication: 1990
ISSN:0098-3500
Authors
J. J. Dongarra  Univ. of Tennessee, Knoxville
Jeremy Du Croz  Numerical Algorithms Group Ltd., Oxford, UK
Sven Hammarling  Numerical Algorithms Group Ltd., Oxford, UK
I. S. Duff  Harwell Lab, Oxfordshire, UK
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 19,   Downloads (12 Months): 177,   Citation Count: 158
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ABSTRACT

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


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
BARRON, D. W., AND SWINNERTON-DYER, H. P.F. Solution of simultaneous linear equations using a magnetic-tape store. Comput. J. 3 (1960), 28-33.
 
2
BERRY, M., GALLIVAN, K., HARROD, W., JALBY, W., LO, S., MEIER, U., PHILIPPE, B., AND SAMEH, A. Parallel algorithms on the CEDAR system. CSRD Report 581, 1986.
 
3
 
4
BRONLUND, O. E., AND JOHNSEN, T. QR-factorization of partitioned matrices. Comput. Meth. Appl. Mech. Eng., vol. 3, pp. 153-172, 1974.
 
5
BUCHER, I., AND JORDAN, T. Linear algebra programs for use on a vector computer with a secondary solid state storage device. In Advances in Computer Methods for Partial Differential Equations, R. Vichnevetsky and R. Stepleman, Eds. IMACS, 1984, 546-550.
 
6
CALAHAN, D.A. Block-oriented local-memory-based linear equation solution on the CRAY-2: Uniprocessor algorithms. In Proceedings International Conference on Parallel Processing (Aug. 1986). IEEE Computer Society Press, New York, 1986.
 
7
CARNEVALI, P., RADICATI DI BROZOLO, G., ROBERT, Y., AND SGUAZZERO, P. Efficient Fortran implementation of the Gaussian elimination and Householder reduction algorithms on the IBM 3090 vector multiprocessor. IBM ECSEC Rep. ICE-0012, 1987.
 
8
CHARTRES, B. Adaption of the Jacobi and Givens methods for a computer with magnetic tape backup store. Univ. of Sydney Tech. Rep. 8, 1960.
 
9
DAVE, A. K., AND DUFF, I.S. Sparse matrix calculations on the CRAY-2. Parallel Comput. 5 (July 1987), 55-64.
 
10
DEMMEL, J., DONGARRA, J. J., DU CROZ, J., GREENBAUM, A., HAMMARLING, S., AND SORENSEN, D. Prospectus for the development of a linear algebra library for high-performance computers. Argonne National Lab. Rep. ANL-MCS-TM-97, Sept. 1987.
 
11
DIETRICH, G. A new formulation of the hypermatrix Householder QR-decomposition. Comput. Meth. AppI. Mech. Eng. 9 (1976), 273-280.
12
 
13
DONGARRA, J. J., BUNCH, J., MOLER, C., AND STEWART, G. LINPACK Users' Guide. SIAM, Philadelphia, Pa., 1979.
14
15
16
 
17
 
18
DONGARRA, J. J., GUSTAVSON, F., AND KARP, A. Implementing linear algebra algorithms for dense matrices on a vector pipeline machine. SIAM Rev. 26, 1 (1984), 91-112.
 
19
DONGARRA, J. J., HAMMARLING, S., AND SORENSEN, O. C. Block reduction of matrices to condensed forms for eigenvalue computations. Argonne National Lab. Rep. ANL-MCS-TM-99, Sept. 1987.
 
20
DONGARRA, J. J., AND HEWITT, T. Implementing dense linear algebra using multitasking on the CRAY X-MP-4. J. Comput. Appl. Math. 27 (1989), 215-227.
 
21
DONGARRA, J. J., AND SORENSEN, D.C. Linear algebra on high-performance computers. In Proceedings Parallel Computing 85, U. Schendel, Ed. North Holland, Amsterdam, 1986, 113-136.
22
 
23
DUFF, I. S. Full matrix techniques in sparse Gaussian elimination. In Numerical Analysis Proceedings, Dundee 1981, Lecture Notes in Mathematics 912. Springer-Verlag, New York, 1981, 71-84.
 
24
 
25
GEORGE, A., AND RASHWAN, S. Auxiliary storage methods for solving finite element systems. SIAM J. Sci. Star. Comput. 6, 4 (Oct. 1985), 882-910.
 
26
IBM. Engineering and scientific subroutine library. Program 5668-863, 1986.
27
28
29
 
30
ROBERT, Y., AND SGUAZZERO, P. The LU decomposition algorithm and its efficient Fortran implementation on the IBM 3090 vector multiprocessor. IBM ECSEC Rep. ICE-0006, 1987.
 
31
SCHREIBER, R. Module design specification (Version 1.0). SAXPY Computer Corp., 255 San Geronimo Way, Sunnyvale, CA 94086, 1986.
 
32

CITED BY  158