Arithmetic | Optimization algorithms and methods | Numerical analysis | Computer arithmetic

Interval contractor

In mathematics, an interval contractor (or contractor for short) associated to a set X is an operator C which associates to a box [x] in Rn another box C([x]) of Rn such that the two following properties are always satisfied: * (contractance property) * (completeness property) A contractor associated to a constraint (such as an equation or an inequality) is a contractor associated to the set X of all x which satisfy the constraint. Contractors make it possible to improve the efficiency of branch-and-bound algorithms classically used in interval analysis. (Wikipedia).

Interval contractor
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