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Why is convexity more important than quasi-convexity in optimization?
In the mathematical optimization literature it is common to distinguish problems according to whether or not they are convex. The reason seems to be that convex problems are guaranteed to have ...
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Degeneracy in Linear Programming
Consider the standard form polyhedron, and assume that the rows of the matrix A are linearly independent.
$$ \left \{ x | Ax = b, x \geq 0 \right \} $$
(a) Suppose that two different bases lead to ...