Criss-cross algorithm: Difference between revisions

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References: Roos, and tweak RTR
Oriented matroids: <ref>{{harvtxt|Roos|1990}}</ref>
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|pages=417–479|doi=10.1017/CBO9780511586507|MR=1744046}}</ref>
 
Like the simplex algorithm of Dantzig, the criss-cross algorithm is not a [[polynomial-time algorithm]] for linear programming. The original criss-cross algorithm of Terlaky visits all the&nbsp;2<sup>''D''</sup>&nbsp;corners of a (perturbed) cube in dimension&nbsp;''D'', according to a paper of Roos (which modifies the Klee-Minty construction of a cube on which the simplex algorithm takes&nbsp;2<sup>''D''</sup>&nbsp;steps.<ref name="FukudaTerlaky"/><ref>{{harvtxt|Roos|1990}}</ref>
 
==Summary==