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==Summary==
The criss-cross algorithm is a simply stated algorithm for linear program of great theoretical interest. It was the second earliest fully combinatorial algorithm for linear programming; unlike the first algorithm for oriented matroids by Todd, the criss-cross algorithm does not cycle on nonrealizable oriented-oriented matroid problems. It is not a polynomial-time algorithm, however. Researchers have extended the criss-cross algorithm for many optimization-problems, including linear-fractional programming.<ref name="LF99Hyperbolic"/> The criss-cross algorithm can solve quadratic programming problems and linear complementarity problems in the setting of oriented matroids. It is not a polynomial time algorithm for linear programming, however.
==See also==
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