computer arithmetic

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1: 4.44 Other Applications

§4.44 Other Applications

… ►For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv). …

2: Annie A. M. Cuyt

… ►As a consequence her expertise spans a wide range of activities from pure abstract mathematics to computer arithmetic and different engineering applications. …

3: Daniel W. Lozier

… ►His research interests have centered on numerical analysis, special functions, computer arithmetic, and mathematical software construction and testing. …

4: 3.1 Arithmetics and Error Measures

… ►Computer arithmetic is described for the binary based system with base 2; another system that has been used is the hexadecimal system with base 16. … ►

§3.1(ii) Interval Arithmetic

… ►With this arithmetic the computed result can be proved to lie in a certain interval, which leads to validated computing with guaranteed and rigorous inclusion regions for the results. … ►Computer algebra systems use exact rational arithmetic with rational numbers $p/q$, where $p$ and $q$ are multi-length integers. …

5: Bibliography

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The MasPar MP-1 as a computer arithmetic laboratory. J. Res. Nat. Inst. Stand. Technol. 101 (2), pp. 165–174.

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External Links:

Document

Referenced by:

§3.1(iv).

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BibTeX

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Arb: A C Library for Arbitrary Precision Ball Arithmetic.

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Notes:

An extended-precision C code for special functions. The library uses arbitrary-precision ball arithmetic. Ball arithmetic is an efficient technique for performing numerical computations with automatic and rigorous tracking of error bounds. Arb is designed with computer algebra and computational number theory in mind, extending the principles behind FLINT to the domain of real and complex numbers.

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BibTeX

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6: Bibliography L

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An underflow-induced graphics failure solved by SLI arithmetic. In IEEE Symposium on Computer Arithmetic, E. E. Swartzlander, M. J. Irwin, and G. A. Jullien (Eds.), Washington, D.C., pp. 10–17.

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External Links:

FullText

Referenced by:

§3.1(iv).

Encodings:

BibTeX

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7: Bibliography M

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Foundations of Finite Precision Rational Arithmetic. In Fundamentals of Numerical Computation (Computer-oriented Numerical Analysis), G. Alefeld and R. D. Grigorieff (Eds.), Comput. Suppl., Vol. 2, Vienna, pp. 85–111.

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External Links:

MathReview (G. Blanch), ZentralBlatt

Referenced by:

§3.1(iii).

Encodings:

BibTeX

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The computation of elementary functions in radix $2^p$ . Computing 53 (3-4), pp. 219–232.

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Notes:

International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (Vienna, 1993)

External Links:

ISSN 0010-485X, Document, MathReview, ZentralBlatt

Referenced by:

§4.45(i).

Encodings:

BibTeX

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8: Bibliography O

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Error Analysis of Complex Arithmetic. In Computational Aspects of Complex Analysis (Braunlage, 1982), H. Werner, L. Wuytack, E. Ng, and H. J. Bünger (Eds.), NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., Vol. 102, pp. 279–292.

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External Links:

MathReview (G. Blanch), ZentralBlatt

Referenced by:

§3.1(v).

Encodings:

BibTeX

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Numerical Computing with IEEE Floating Point Arithmetic. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

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Notes:

Including one theorem, one rule of thumb, and one hundred and one exercises

External Links:

ISBN 0-89871-482-6, MathReview (Jesse L. Barlow), ZentralBlatt

Referenced by:

§3.1(i).

Encodings:

BibTeX

9: Bibliography G

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What every computer scientist should know about floating-point arithmetic. ACM Computing Surveys 23 (1), pp. 5–48.

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External Links:

ISSN 0360-0300, Document

Referenced by:

§3.1(i).

Encodings:

BibTeX

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10: 22.20 Methods of Computation

… ►Alternatively, Sala (1989) shows how to apply the arithmetic-geometric mean to compute $\mathrm{am}(x,k)$. …