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Sparse extensions to the FORTRAN Basic Linear Algebra Subprograms
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 17 ,  Issue 2  (June 1991) table of contents
Pages: 253 - 263  
Year of Publication: 1991
ISSN:0098-3500
Authors
David S. Dodson  Convex Computer Corp., Richardson, TX
Roger G. Grimes  Boeing Computer Services, Seattle, WA
John G. Lewis  Boeing Computer Services, Seattle, WA
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 49,   Citation Count: 9
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ABSTRACT

This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extension is targeted at sparse vector operations, with the goal of providing efficient, but 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.

 
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ASHCRAFT, C. C , GRIMES, R. G., LEWIS, J. G, PEYTON, B. W, AND SIMON, H.D. Progress in sparse matrix methods for large hnear systems on vector supercomputers Int. J. Supercornput. Appl. 1, 4 (Dec., 1987), 10-30.
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DONGARRA, J. J, BUNCH, J. R., MOLER, C. B., AND STEWART, G W. LINPACK User's Guzde, SIAM , Philadelphia, Pa., 1979.
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DUFF, I. S. MA28: A Set of FORTRAN Subroutines for Sparse Unsymmetric Linear Systems. AERE Report R.8730, HMSO, London, 1971.
 
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EISENSTAT, S. C., GURSKY, M. C., SCHULTZ, M. H., AND SHERMAN, A.H. Yale sparse matrix package I. The symmetric codes. Int. J. Num. Math. Eng. 18 (1982), 1145-1151.
 
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GEORGE, A., AND HEATH, M. T. Solution of sparse linear least squares problems using Givens rotations. In Linear Algebra and Its Applications 34 (1980), 69-82.
 
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GEORGE, A., AND LIU, J. W. Householder reflections versus Givens rotations in sparse orthogonal decomposition. In Linear Algebra and Applications 88-89. (1987), 304-311.
 
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GRIMES, R. G., LEwIs, J. G. AND SIMON, H. D. Experiences in solving large eigenvalue problems on the CRAY X-MP. In Proceedings of the Eighteenth Semiannual CRAY Users Group Meeting (Garmisch, Germany, Oct. 1986), 95-99.
 
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GRIMES, R. G., LEwis, J. G. AND SIMON, H. D. Eigenvalue problems and algorithms in structural engineering. In Large Scale Eigenvalue Problems, J. Cullum and R. Willoughby, Eds., Elsevier North-Holland, 1986, pp. 81-93.
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SIMON, H.D. Incomplete LU preconditioners for conjugate gradient type iterative methods. Paper SPE 13533, In Proceedings of the Eighth SPE symposium on Reservoir Simulations (Feb., 1985).

CITED BY  9
 
 


REVIEW

"Mohamed E. El-Hawary : Reviewer"

Adopting a standardized set of basic routines for problems in linear algebra is acknowledged to improve program clarity, portability, modularity, and maintainability. The original set is known as the Basic Linear Algebra Subprograms (BLAS) and  more...

Collaborative Colleagues:
David S. Dodson: colleagues
Roger G. Grimes: colleagues
John G. Lewis: colleagues

Peer to Peer - Readers of this Article have also read: