Ellipsoid method information

the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose...

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...

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...

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...

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...

the introduction of the ellipsoid method. The convergence analysis has (real-number) predecessors, notably the iterative methods developed by Naum Z. Shor...

minimization problems (similar to conjugate gradient methods). Ellipsoid method: An iterative method for small problems with quasiconvex objective functions...

nonlinear programming. It can still be solved in polynomial time by the ellipsoid method if the objective function is convex; otherwise the problem may be NP...

algorithm uses the central-cut ellipsoid method. Another option is to use another method that uses simplices instead of ellipsoids. An oracle for WVIOL, with...

The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth...

John ellipsoid or Löwner–John ellipsoid E(K) associated to a convex body K in n-dimensional Euclidean space Rn can refer to the n-dimensional ellipsoid of...

In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate...

useful to find the minimum bounding ellipse on a set of points. The ellipsoid method is quite useful for solving this problem. Solar System portal Science...

optimization and is best known for his work on the ellipsoid method, modern interior-point methods and robust optimization. Nemirovski earned a Ph.D....

algorithms for solving an LP in weakly-polynomial time, such as the ellipsoid method; however, they usually return optimal solutions that are not basic...

the angle formed between the vector perpendicular (or normal) to the ellipsoidal surface from the point, and the plane of the equator. Two levels of abstraction...

fractional MST problem can be solved in polynomial time using the ellipsoid method.: 248  However, if we add a requirement that f(e) must be half-integer...

Wolfe, etc.). For positive definite Q, when the problem is convex, the ellipsoid method solves the problem in (weakly) polynomial time. Ye and Tse present...

algorithms for linear programming that use interior point methods: these include Khachiyan's ellipsoidal algorithm, Karmarkar's projective algorithm, and path-following...

geodesy based on a reference ellipsoid. They include geodetic latitude (north/south) ϕ, longitude (east/west) λ, and ellipsoidal height h (also known as geodetic...

functions. Cutting-plane methods Ellipsoid method Subgradient method Dual subgradients and the drift-plus-penalty method Subgradient methods can be implemented...

Khachiyan, Martin Grötschel, László Lovász and Alexander Schrijver for the ellipsoid method in linear programming and combinatorial optimization. G. P. Egorychev...

operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm...

nearest integer. The solution method for semidefinite programs, used by this algorithm, is based on the ellipsoid method for linear programming. It leads...