Lets say I have an piecewise affine convex function f(x1,x2), on which the following operations are possible:
- Computing f(x1,x2).
- Computing a subgradient to f at (x1,x2)
- Computing all breakpoints along a line a1x1+a2x2=a3
What is an efficient algorithm to compute f completely, i.e. to compute all its breakpoints? Are there any general methods?
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