Towards accurate statistical estimation of rounding errors in floating-point computations

Author:

Linnainmaa Seppo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference11 articles.

1. P. Henrici,Elements of numerical analysis, Ch. 16, Wiley, New York, 1964.

2. T. E. Hull and J. R. Swenson,Tests of probabilistic models for propagation of roundoff errors, Comm. ACM 9 (1966), 108–113.

3. T. Kaneko and B. Liu,On local round-off errors in floating-point aritmetic, J. ACM 20 (1973), 391–398.

4. D. E. Knuth,Seminumerical algorithms, The Art of Computer Programming, Vol. 2, Sec. 4.2, Addison-Wesley, Reading, Massachusetts, 1969.

5. S. Linnainmaa,The representation of the cumulative rounding error of an algorithm as a Taylor expansion of local rounding errors), Master's Thesis, Department of Computer Science, University of Helsinki, Helsinki, Finland, 1972.

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