An infeasible-interior-point potential-reduction algorithm for linear programming
نویسندگان
چکیده
منابع مشابه
An infeasible-interior-point potential-reduction algorithm for linear programming
This paper studies a new potential-function and an infeasible-interior-point method based on this function for the solution of linear programming problems. This work is motivated by the apparent gap between the algorithms with the best worst-case complexity and their most successful implementations. For example, analyses of the algorithms are usually carried out by imposing several regularity a...
متن کاملA path-following infeasible interior-point algorithm for semidefinite programming
We present a new algorithm obtained by changing the search directions in the algorithm given in [8]. This algorithm is based on a new technique for finding the search direction and the strategy of the central path. At each iteration, we use only the full Nesterov-Todd (NT)step. Moreover, we obtain the currently best known iteration bound for the infeasible interior-point algorithms with full NT...
متن کاملImproved infeasible-interior-point algorithm for linear complementarity problems
We present a modified version of the infeasible-interior- We present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by Mansouri et al. (Nonlinear Anal. Real World Appl. 12(2011) 545--561). Each main step of the algorithm consists of a feasibility step and several centering steps. We use a different feasibility step, which tar...
متن کاملInfeasible-Interior-Point Primal-Dual Potential-Reduction Algorithms for Linear Programming
In this paper, we propose primal-dual potential-reduction algorithms which can start from an infeasible interior point. We rst describe two such algorithms and show that both are polynomial-time bounded. One of the algorithms decreases the Tanabe-Todd-Ye primal-dual potential function by a constant at each iteration under the condition that the duality gap decreases by at most the same ratio as...
متن کاملimproved infeasible-interior-point algorithm for linear complementarity problems
we present a modified version of the infeasible-interior- we present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by mansouri et al. (nonlinear anal. real world appl. 12(2011) 545--561). each main step of the algorithm consists of a feasibility step and several centering steps. we use a different feasibility step, which targ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Programming
سال: 1999
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s101070050091