Geometric Presolver example

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(New page: Assume that the following problem is massive: <center> <math>\begin{array}{rl}\mbox{find}&x\\ \mbox{subject to}&E\,x=t\\ &x\succeq_{}\mathbf{0}\end{array}</math> </center> The problem is p...)
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Revision as of 16:13, 11 April 2013

Assume that the following problem is massive:

LaTeX: \begin{array}{rl}\mbox{find}&x\\ \mbox{subject to}&E\,x=t\\ &x\succeq_{}\mathbf{0}\end{array}

The problem is presumed solvable but not computable by any contemporary means. The most logical strategy is to make the problem smaller.

This file contains a real E matrix having dimension LaTeX: 533\times 2704 and compatible t vector. There exists a cardinality LaTeX: 36 binary solution LaTeX: x. Before attempting to find it, we have no choice but to reduce

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