| Software for Roundoff Analysis |
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ACM Transactions on Mathematical Software (TOMS)
archive
Volume 1 , Issue 2 (June 1975)
table of contents
Pages: 108 - 128
Year of Publication: 1975
ISSN:0098-3500
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Author
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Webb Miller
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Computer Science Department, The Pennsylvania State University, University Park, PA
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| Bibliometrics |
Downloads (6 Weeks): 3, Downloads (12 Months): 24, Citation Count: 8
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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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BABUSKA, I. Numerical stability m problems of hnear algebra. SIAM J. Numer. Anal. 9 (1972), 53-77
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BJoacK, A. Solving linear least square problems by Gram-Schmidt orthogonahzation. BIT ? (1967), 1-21.
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HART. J., et al. Computer A pproz~matTons. Wiley, New York, 1968.
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T. E. Hull , W. H. Enright , A. E. Sedgwick, The correctness of numerical algorithms, Proceedings of ACM conference on Proving assertions about programs, p.66-73, January 06-07, 1972, Las Cruces, New Mexico, United States
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10
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KAHAN W One numerical analyst's experience with one symbol manipulator SIAM Rev 16 (1974). 129
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MILLER, W Automatic a prori roundoff analysis Computing 10 (1972), 213-219.
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MILLER W Remarks on the complexity to round off analysis Computing 12 (1974), 149-161.
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MlLLER, W Numerical heuristics in COmputer-aided roundoff analysis IBM Tech. Rep. RC4332, May 2, 1973
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MILLER, WNumerwal search for ill-condition IBM Tech Rep RC4516, 1973.
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hloolCE. R Internal Analysis. Prentice-Hall, Englewood Cliffs, N J, 1966
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OICTEC, A, J , AND KAISER, H The LLT and QR methods for symmetric trldmgonal matrices Compeller J. 6 (1963), 99-101
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REINSCH, C .~ stable, rational QR algorithm for the computation of the elgenvalues of an Hermltlan, trldmgonal matrix Math Compulat~on 25 (1971), 59t-597
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RICE. j On the conditionmg of polynomial and ratmnal forms N~tmer. 3Iath 7 (1965), 426-435
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RICE. J Experm~ents on Gram-Schmldt orthogonallzatmn Math Computatwn 20 (1966), 325-328
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STEWART, G Introductwn to Matrix Comp~ttatwns. Academic Press, New York, 1973
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STOUTEMYER, D Automatic error analys~s using the computer symbohc manlpulatmn language, REDUCE. Submitted to a technical journal
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WELSCH, J. Certfficatmn of Algorithm 253. Comm. ACM 10 (1967), 367
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WILKINSON, J Modern error analysis SIAM Rev 13 (1971), 548-568
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