Some lower bounds for the complexity of the linear programming feasibility problem over the reals (Q998976)
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scientific article; zbMATH DE number 5500792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some lower bounds for the complexity of the linear programming feasibility problem over the reals |
scientific article; zbMATH DE number 5500792 |
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Some lower bounds for the complexity of the linear programming feasibility problem over the reals (English)
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30 January 2009
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It is a major open question in complexity theory whether, using Boolean arithmetic circuits to codify first-order formulas, a polynomial time algorithm can be designed for the elimination of a single quantifier block. In order to find a procedure to the above problem, in this paper, the authors analyze the arithmetic complexity of linear programming. They present the subject in a wider framework. The paper is very informative and stimulating.
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linear programming
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algebraic complexity
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limiting hypersurface
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polyhedra and polytopes
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complexity lower bounds
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