Set inversion

Set inversion is the problem of characterizing the reciprocical image X of a set Y by a function f. In most applications, f is a function from ℝⁿ to ℝ^p and the set Y is a box of ℝ^p(i.e. a Cartesian product of p intervals of ℝ).

When f is nonlinear the set inversion can be solved ^[1]

using interval analysis.

References

^ Jaulin, Luc; Didrit, Olivier; Kieffer, Michel; Walter, Eric (2001). Applied Interval Analysis. Berlin: Springer. ISBN 1-85233-219-0.

[1] Jaulin, Luc; Didrit, Olivier; Kieffer, Michel; Walter, Eric (2001). Applied Interval Analysis. Berlin: Springer. ISBN 1-85233-219-0.

[1]