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
Semidefinite programming (section Ellipsoid method)
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
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
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
Leonid Khachiyan (section Ellipsoid method)
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
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
Karmarkar's algorithm (redirect from Projective method)
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
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
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