The Ellipsoid Method
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In 1979 a note of L. G. Khachiyan indicated how an algorithm, the so-called ellipsoid method, originally devised for nonlinear nondifferentiable optimization, can be modified in order to check the feasibility of a system of linear inequalities in polynomial time. This result caused great excitement in the world of mathematical programming since it implies the polynomial time solvability of linear programming problems.
KeywordsConvex Body Elementary Step Informal Description Ellipsoid Method Geometric Background
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