• the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose...
    23 KB (3,657 words) - 20:46, 2 September 2024
  • the ellipsoid method is exponential in n. But in most applications, R is not so huge. In these cases, the ellipsoid method is the only known method that...
    28 KB (4,694 words) - 11:45, 22 October 2024
  • Thumbnail for Interior-point method
    simplex method, which has exponential run-time in the worst case. Practically, they run as fast as the simplex method—in contrast to the ellipsoid method, which...
    30 KB (4,684 words) - 16:09, 30 October 2024
  • Thumbnail for Ellipsoid
    An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation...
    37 KB (5,896 words) - 23:27, 16 October 2024
  • known for his four-page February 1979 paper that indicated how an ellipsoid method for linear programming can be implemented in polynomial time. The paper...
    18 KB (1,456 words) - 05:35, 1 November 2024
  • method. Instead of maintaining the feasible polytope Gt, it maintains an ellipsoid that contains it. Computing the center-of-gravity of an ellipsoid is...
    4 KB (576 words) - 14:37, 29 November 2023
  • Thumbnail for Earth ellipsoid
    of a (which is not quite 6,400 km). Many methods exist for determination of the axes of an Earth ellipsoid, ranging from meridian arcs up to modern satellite...
    19 KB (2,379 words) - 05:58, 11 September 2024
  • efficient algorithm that solves these problems in polynomial time. The ellipsoid method is also polynomial time but proved to be inefficient in practice. Denoting...
    18 KB (2,231 words) - 18:57, 2 November 2024
  • Thumbnail for Linear programming
    the introduction of the ellipsoid method. The convergence analysis has (real-number) predecessors, notably the iterative methods developed by Naum Z. Shor...
    61 KB (6,668 words) - 12:34, 5 October 2024
  • Thumbnail for Newton's method
    In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding...
    66 KB (8,364 words) - 01:19, 25 October 2024