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interior point method

См. также в других словарях:

  • Interior point method — Interior point methods (also referred to as barrier methods) are a certain class of algorithms to solve linear and nonlinear convex optimization problems. These algorithms have been inspired by Karmarkar s algorithm, developed by Narendra… …   Wikipedia

  • Newton's method — In numerical analysis, Newton s method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real valued function. The… …   Wikipedia

  • Nelder–Mead method — Nelder–Mead simplex search over the Rosenbrock banana function (above) and Himmelblau s function (below) See simplex algorithm for Dantzig s algorithm for the problem of linear opti …   Wikipedia

  • Mehrotra predictor-corrector method — Mehrotra s predictor corrector method in optimization is an implementation of interior point methods. It was proposed in 1989 by Sanjay Mehrotra. [cite journal|last=Mehrotra|first=S.|title=On the implementation of a primal–dual interior point… …   Wikipedia

  • Mehrotra predictor–corrector method — Mehrotra s predictor–corrector method in optimization is an implementation of interior point methods. It was proposed in 1989 by Sanjay Mehrotra.[1] The method is based on the fact that at each iteration of an interior point algorithm it is… …   Wikipedia

  • Iterative method — In computational mathematics, an iterative method is a mathematical procedure that generates a sequence of improving approximate solutions for a class of problems. A specific implementation of an iterative method, including the termination… …   Wikipedia

  • Newton's method in optimization — A comparison of gradient descent (green) and Newton s method (red) for minimizing a function (with small step sizes). Newton s method uses curvature information to take a more direct route. In mathematics, Newton s method is an iterative method… …   Wikipedia

  • Cutting-plane method — In mathematical optimization, the cutting plane method is an umbrella term for optimization methods which iteratively refine a feasible set or objective function by means of linear inequalities, termed cuts. Such procedures are popularly used to… …   Wikipedia

  • Nonlinear conjugate gradient method — In numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradient method to nonlinear optimization. For a quadratic function : The minimum of f is obtained when the gradient is 0: . Whereas linear conjugate… …   Wikipedia

  • Ellipsoid method — The ellipsoid method is an algorithm for solving convex optimization problems. It was introduced by Naum Z. Shor, Arkady Nemirovsky, and David B. Yudin in 1972, and used by Leonid Khachiyan to prove the polynomial time solvability of linear… …   Wikipedia

  • interior design — 1. the design and coordination of the decorative elements of the interior of a house, apartment, office, or other structural space, including color schemes, fittings, furnishings, and sometimes architectural features. 2. the art, business, or… …   Universalium

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