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Linear programming is the study of optimizing a linear function over a set of linear inequalities. The Simplex Method, Ellipsoid Method and Interior Point Method are popular algorithms to solve linear programs.

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Perturbation of Linear Programs

Consider the linear program, $$\begin{array}{ll} \text{maximize} & c^T x\\ \text{subject to} & Ax \leq b\\ & x \geq 0\end{array}$$ I want to study the sensitivity of the optimal $x^*$ with small pe …
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