The Klee–Minty cube or Klee–Minty polytope (named after Victor Klee and George J. Minty) is a unit hypercube of variable dimension whose corners have...
15 KB (1,604 words) - 03:34, 15 August 2024
the Klee–Minty cube, which shows that the simplex algorithm for linear programming does not work in polynomial time in the worst–case scenario. Klee served...
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visit all 2D corners of a (perturbed) cube in dimension D, the Klee–Minty cube (after Victor Klee and George J. Minty), in the worst case. However, when...
24 KB (2,432 words) - 01:00, 10 January 2024
to defeat the deformed hypercube constructions by Klee and Minty et al. (see, e.g. Klee–Minty cube). Cunningham's rule assigns a cyclic order to the variables...
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mathematics. He is known for the Klee–Minty cube, the Browder–Minty theorem, the introduction of oriented regular matroids, and the Minty-Vitaver theorem on graph...
10 KB (1,102 words) - 05:23, 23 January 2024
Both algorithms visit all 2D corners of a (perturbed) cube in dimension D, the Klee–Minty cube, in the worst case. In contrast to the simplex algorithm...
61 KB (6,668 words) - 12:34, 5 October 2024
as Fourier–Motzkin elimination. However, in 1972, Klee and Minty gave an example, the Klee–Minty cube, showing that the worst-case complexity of simplex...
42 KB (6,186 words) - 14:18, 5 July 2024
known for his work on criss-cross algorithms, interior-point methods, Klee-Minty examples for path following algorithms, and optimization. Terlaky was...
17 KB (1,595 words) - 22:25, 28 April 2023
Bland's rule — rule to avoid cycling in the simplex method Klee–Minty cube — perturbed (hyper)cube; simplex method has exponential complexity on such a domain...
70 KB (8,336 words) - 05:14, 24 June 2024
Minty Jr. (September 16, 1929 – August 6, 1986), mathematician, specializing in mathematical analysis and discrete mathematics; known for the Klee-Minty...
184 KB (24,061 words) - 15:21, 25 October 2024
Nasty Linear Complementarity Problems’’ which relates the celebrated Klee-Minty result on the exponential time behavior of the simplex method of linear...
14 KB (1,885 words) - 17:21, 26 September 2023