# interior point

## interior point

[in′tir·ē·ər ′pȯint]
(mathematics)
A point p in a topological space is an interior point of a set S if there is some open neighborhood of p which is contained in S.
References in periodicals archive ?
A variation on the interior point method for linear programming using the continued iteration, doi:10.
A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal powerflows," IEEE Trans.
Compared with Brander and Lewis (1986), this study has no restriction of interior point solution.
If 0 is an interior point of U, then U = X and the theorem is trivial.
i) A point x [member of] X is called interior point of a set A [subset or equal to] X whenever there exists 0 < r [member of] c such that B(x, r) = {y [member of] X: d(x, y) < r} [subset or equal to] A.
The interior point method has the characteristics of fast calculation, strong robustness, and global convergence [18, 19].
Base on the previous analysis, we introduce the barrier method to locate the global optimal solution, which is a representative technique from the class of interior point methods.
He addresses 1-D algorithms, the conjugate gradient method, the Broyden-Fletcher-Goldfarb-Shanno algorithm, the Powell method, the penalty function, the augmented Lagrange multiplier method, sequential quadratic programming, the method of feasible directions, genetic algorithms, particle swarm optimization, simulated annealing, ant colony optimization, and tabu search methods, as well as multiobjective optimization problems, the simplex method and affine-scaling interior point method for solving linear programming problems, dynamic programming, and Gomory's cutting plane method, branch-and-bound method, and Balas' algorithm for integer programming.
Recently, various algorithms based on interior point methods have been used which have proper integration and management in dealing with inequality constraints, such as interior point linear programming, quadratic interior point and nonlinear programming.
Reuben Arnold, brand and customer experience director, says that from an interior point of view, the look and feel remains typical of Virgin's fleet, but the difference lies in the new colour palette.
In [2], interior point algorithm was used to determine the maximum transfer capability of a power system.
Since the image of N in [sigma]' is a common interior point of t' and [rho]' and since both [tau]' and [rho]' are faces of [sigma]', we have [tau]' = [rho]'.

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