In distinction to your simplex algorithm, which finds an best Option by traversing the edges in between vertices with a polyhedral established, interior-stage strategies transfer by the inside from the feasible area. Ellipsoid algorithm, adhering to Khachiyan[edit]
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Geometrically, the linear constraints define the feasible location, that is a convex polytope. A linear purpose is a convex functionality, which means that every community minimal is a world bare minimum; similarly, a linear perform is really a concave perform, which means that every neighborhood optimum is a global maximum.
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