Interval arithmetic From principles to implementation.

We start with a mathematical definition of a real interval as a closed, connected set of reals. Interval arithmetic operations (addition, subtraction, multiplication, and division) are likewise defined mathematically and we provide algorithms for computing these operations assuming exact real arithm...

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Bibliographic Details
Published in:	Journal of the ACM 48, 5 (2001).
Main Author:	Hickey, T.
Format:	Article
Language:	English
Subjects:	Software. Software engineering. Software/Program Verification. Validation. Mathematics of computing. Numerical analysis. Interval arithmetic. Computer arithmetic. Conditioning (and ill-conditioning). Error analysis. Roots of nonlinear equations. Iterative methods. Algorithms. Reliability. Theory. Verification.