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Up: 3.3 Linear Interval Arithmetic
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We will now demonstrate an evaluation of ,
for .
The evaluation of
proceeds as follows:
with
The following diagram illustrates the variables used.
The same procedure may be used when evaluating ,
after specifying which rounding mode is used for each operation.
The evaluation of
proceeds as follows:
with
assuming that .
There is some freedom in the assignment of rounding modes;
the above is intended as a guide to producing a
valid model, not necessarily an optimal one.
Even with a fixed assignment of rounding modes,
the choice of rounding modes will influence the optimality
of the model, as well as the execution cost.
Next: 3.4 Polynomial Interval Arithmetic
Up: 3.3 Linear Interval Arithmetic
Previous: 3.3.29 Concave UpDown Functions