| Algorithm 589: SICEDR: A FORTRAN Subroutine for Improving the Accuracy of Computed Matrix Eigenvalues |
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ACM Transactions on Mathematical Software (TOMS)
archive
Volume 8 , Issue 4 (December 1982)
table of contents
Pages: 371 - 375
Year of Publication: 1982
ISSN:0098-3500
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Author
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Jack J. Dongarra
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Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL
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| Bibliometrics |
Downloads (6 Weeks): 1, Downloads (12 Months): 17, Citation Count: 1
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 APPENDICES and SUPPLEMENTS
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improving the accuracy of computed real matrix eigenvalues and improving or computing the associated eigenvector
Gams: D2a4,D4c,D4c1b3,D4c2c
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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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DONGARRA, J.J., MOLER, C B., AND WILKINSON, J.H. Improving the accuracy of computed eigenvalues and eigenvectors. SIAM J. Numer. Anal. to appear (ANL-81-43, Argonne National Laboratory, Argonne, Ill. (1981))
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DONGARRA, J.J., BUNCH, J.R., MOLER, C.B., AND STEWART, G.W LINPACK Users" Guide. SIAM Pub., Philadelphia, Pa., 1979.
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SMITH, B.T., ET AL. Matrix e~gensystem routines--EISPACK guide. In Lecture Notes in Computer Scwnce, 2nd ed, vol. 6, Springer-Verlag, Berlin, 1976.
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SYMM, H.J., AND WILKINSON, J.H. Realistic error bounds for a simple eigenvalue and its associated elgenvector. Numer Math 35 (1980), 113-126.
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CITED BY
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Julie Langou , Julien Langou , Piotr Luszczek , Jakub Kurzak , Alfredo Buttari , Jack Dongarra, Tools and techniques for performance---Exploiting the performance of 32 bit floating point arithmetic in obtaining 64 bit accuracy (revisiting iterative refinement for linear systems), Proceedings of the 2006 ACM/IEEE conference on Supercomputing, November 11-17, 2006, Tampa, Florida
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