interval arithmetic

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1: 4.48 Software

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§4.48(ii) Interval Arithmetic

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2: 3.1 Arithmetics and Error Measures

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§3.1(ii) Interval Arithmetic

►Interval arithmetic is intended for bounding the total effect of rounding errors of calculations with machine numbers. … ►The elementary arithmetical operations on intervals are defined as follows: … ►A basic text on interval arithmetic and analysis is Alefeld and Herzberger (1983), and for applications and further information see Moore (1979) and Petković and Petković (1998). …For interval arithmetic, one should refer to the IEEE Standards for Interval Arithmetic IEEE (2015, 2018). …

3: Bibliography Y

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Software for interval arithmetic: A reasonably portable package. ACM Trans. Math. Software 5 (1), pp. 50–63.

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External Links:

ISSN 0098-3500, Document

Referenced by:

§4.48(ii).

Encodings:

BibTeX

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4: Bibliography I

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IEEE Standard for Interval Arithmetic: IEEE Std 1788-2015. The Institute of Electrical and Electronics Engineers, Inc..

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External Links:

ISBN 978-0-7381-9720-3, Document

Referenced by:

§3.1(ii), §3.1(ii), Erratum (V1.0.25) for Section 3.1.

Encodings:

BibTeX

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IEEE Standard for Interval Arithmetic: IEEE Std 1788.1-2017. The Institute of Electrical and Electronics Engineers, Inc..

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External Links:

ISBN 978-1-5044-4602-0, Document

Referenced by:

§3.1(ii), §3.1(ii), Erratum (V1.0.25) for Section 3.1.

Encodings:

BibTeX

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5: 15.19 Methods of Computation

… ►The accuracy is controlled and validated by a running error analysis coupled with interval arithmetic.

6: 4.45 Methods of Computation

… ►For interval-arithmetic algorithms, see Markov (1981). …

7: 13.29 Methods of Computation

… ►The accuracy is controlled and validated by a running error analysis coupled with interval arithmetic.

8: Bibliography P

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Complex Interval Arithmetic and its Applications. Mathematical Research, Vol. 105, Wiley-VCH Verlag Berlin GmbH, Berlin.

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External Links:

ISBN 3-527-40134-2, MathReview (G. Alefeld), ZentralBlatt

Referenced by:

§3.1(ii).

Encodings:

BibTeX

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9: Software Index

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	Open Source													With Book						Commercial
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4.48(ii) Interval Arithmetic	✓					✓						✓	✓								✓	✓	a		CoStLy
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10: Bibliography K

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Algorithm 763: INTERVAL_ARITHMETIC: A Fortran 90 module for an interval data type. ACM Trans. Math. Software 22 (4), pp. 385–392.

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External Links:

ISSN 0098-3500, Document, GAMS (module 763; package TOMS), ZentralBlatt

Referenced by:

2nd item.

Encodings:

BibTeX

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