Half-Plane Intersection

Given: a set of linear constraints in two variables

aix + biy < ci

Find: the set of points I satisfying all constraints.

Divide-and-Conquer algorithm solves the problem in O(n log n) time.
 
 

Linear Programming


Minimize ax + by
Subject to aix + biy < ci, i=1,2,...,n

Simplifying assumption: The problem is bounded, i.e., the first 2 constraints are assumed to be bounding.
 

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