• Thumbnail for Klee–Minty cube
    The KleeMinty cube or KleeMinty polytope (named after Victor Klee and George J. Minty) is a unit hypercube of variable dimension whose corners have...
    15 KB (1,604 words) - 01:25, 2 April 2024
  • Thumbnail for Victor Klee
    the KleeMinty cube, which shows that the simplex algorithm for linear programming does not work in polynomial time in the worst–case scenario. Klee served...
    6 KB (445 words) - 17:31, 6 May 2024
  • Thumbnail for Criss-cross algorithm
    visit all 2D corners of a (perturbed) cube in dimension D, the KleeMinty 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. KleeMinty cube). Cunningham's rule assigns a cyclic order to the variables...
    2 KB (204 words) - 14:26, 7 May 2024
  • mathematics. He is known for the KleeMinty 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
  • Thumbnail for Linear programming
    Both algorithms visit all 2D corners of a (perturbed) cube in dimension D, the KleeMinty cube, in the worst case. In contrast to the simplex algorithm...
    61 KB (6,672 words) - 00:02, 29 June 2024
  • as Fourier–Motzkin elimination. However, in 1972, Klee and Minty gave an example, the KleeMinty cube, showing that the worst-case complexity of simplex...
    42 KB (6,186 words) - 14:18, 5 July 2024
  • Bland's rule — rule to avoid cycling in the simplex method KleeMinty 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...
    185 KB (24,129 words) - 02:52, 17 July 2024
  • Thumbnail for Tamás Terlaky
    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
  • Thumbnail for Richard W. Cottle
    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