WE analyze the multiple cut generation scheme in the analytic center cutting plane method. We propose an optimal primal and dual updating direction when the cuts are central. The dircetion is optimal in the sense that it maximizes the product of the new dual slacks and of the new primal variables within the trust regions defined by Dikin's primal and dual ellipsoids.MATHEMATICS
In this paper we consider a homogeneous analytic center cutting plane method in a projective space. ...
Cutting plane algorithms have turned out to be practically successful computational tools in combina...
In this paper we consider a homogeneous analytic center cutting plane method in a projective space. ...
We analyze the multiple cut generation scheme in the analytic center cutting plane method. We propos...
We analyze the process of a two cut generation scheme in the analytic center cutting plane method. W...
We analyze the complexity of the analytic center cutting plane or column generation algorithm for so...
International audienceThis paper analyzes the introduction of multiple central cuts in a conic formu...
We study the issue of updating the analytic center after multiple cutting planes have been added thr...
The analytic center cutting plane (ACCPM) methods aims to solve nondifferentiable convex problems. T...
This thesis concerns the solution of variational inequalities (VIs) with analytic center cutting pla...
We present an algorithm for variational inequalities V I(F; Y) that uses a primal-dual version of th...
In this paper we consider a new analytic center cutting plane method in an extended space. We prove ...
In this paper we consider a new analytic center cutting plane method in a projective space.We prove ...
In cutting plane methods, the question of how to generate the best possible set of cuts is both cent...
In this paper we establish the efficiency estimates for two cutting plane methods based on the analy...
In this paper we consider a homogeneous analytic center cutting plane method in a projective space. ...
Cutting plane algorithms have turned out to be practically successful computational tools in combina...
In this paper we consider a homogeneous analytic center cutting plane method in a projective space. ...
We analyze the multiple cut generation scheme in the analytic center cutting plane method. We propos...
We analyze the process of a two cut generation scheme in the analytic center cutting plane method. W...
We analyze the complexity of the analytic center cutting plane or column generation algorithm for so...
International audienceThis paper analyzes the introduction of multiple central cuts in a conic formu...
We study the issue of updating the analytic center after multiple cutting planes have been added thr...
The analytic center cutting plane (ACCPM) methods aims to solve nondifferentiable convex problems. T...
This thesis concerns the solution of variational inequalities (VIs) with analytic center cutting pla...
We present an algorithm for variational inequalities V I(F; Y) that uses a primal-dual version of th...
In this paper we consider a new analytic center cutting plane method in an extended space. We prove ...
In this paper we consider a new analytic center cutting plane method in a projective space.We prove ...
In cutting plane methods, the question of how to generate the best possible set of cuts is both cent...
In this paper we establish the efficiency estimates for two cutting plane methods based on the analy...
In this paper we consider a homogeneous analytic center cutting plane method in a projective space. ...
Cutting plane algorithms have turned out to be practically successful computational tools in combina...
In this paper we consider a homogeneous analytic center cutting plane method in a projective space. ...