interval arithmetic


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interval arithmetic

[′in·tər·vəl ə′rith·mə·tik]
(computer science)
A method of numeric computation in which each variable is specified as lying within some closed interval, and each arithmetic operation computes an interval containing all values that can result from operating on any numbers selected from the intervals associated with the operands. Also known as range arithmetic.
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of the linear system, computed by some floating point linear system solver, and given an approximate inverse R of P, again computed by some floating point algorithm, Krawczyk's method [24] in its improved version by Rump [37] uses machine interval arithmetic (including outward rounding) to check whether
1, but it uses interval arithmetic in a different manner than in (2.
The modification to be applied in practice using machine interval arithmetic to completely control all roundings will be discussed thereafter.
Let us now turn to the realistic setting, where instead of exact arithmetic we use floating point and machine interval arithmetic.
Using machine interval arithmetic to evaluate the expression defining F, an enclosure for {-f + ([DELTA] - ([I.
j]] of this matrix cannot be computed exactly in floating point arithmetic, but machine interval arithmetic yields a matrix L [contains or equal to] d x I* + I x d*.
Estimation of functional ranges using standard and inner interval arithmetic, Informatica 17(1): 125-136.
Evaluation ranges of functions using balanced random interval arithmetic, Informatica 14(3): 403-416.
Balanced random interval arithmetic, Computers & Chemical Engineering 28(5): 839-851.
Balanced random interval arithmetic in market model estimation, European Journal of Operational Research 175(3): 1367-1378.
A survey of methods for the estimation ranges of functions using interval arithmetic, in Torn, A.
The Danish Technical University is first among equals in the field of Interval Arithmetic and Dynamic Systems, and we're proud that DTU is part of the Sun network".