Many problems of interval computations are NP-hard; this means, crudely speaking, that every algorithm that finds an exact solution will, in some cases, require exponential time, which is often unrealistic. If it turns out that an algorithm works too long, then we have to stop it. Some algorithms, when stopped, produce a reasonable approximation to the solution (for example, an enclosure for the desired interval). Some other algorithms only produce a solution at the very end, so when interrupted, they produce no solution at all.
Reliable Computing – Springer Journals
Published: Oct 6, 2004
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