Any conventional column basis may be made optimal for such a primal–dual pair of shifted-penalized problems. The shifts are then updated using the solution of either the primal or the dual shifted problem. An obvious application of this approach is to solve a shifted dual QP to define an ...
After a preliminary discussion of the convergence of the (primal) projected Newton barrier method, three types of barrier method are analyzed. These methods may be categorized as primal, dual and primal—dual, and may be derived from the application of Newton's method to different variants of ...
20. The Primal-Dual Method for Transportation Problemsdoi:10.1515/9781400884179-021G. Dantzig
we give a unified computational scheme for the complexity analysis of kernel-function-based primal-dual interior-point methods for convex quadratic optimization over symmetric cone. by using euclidean jordan algebras
Erratum: Primal Methods are Better than Dual Methods for Solving Overdetermined Linear Systems in the $l_\\infty $ Sense? Primal methods are better than dual methods for solving overdetermined linear systems in the l∞ sense? Siam J. Numer. Anal., Philadelphia, v.26, p... Richard,H.,Bart...
Through characterizing the primal and dual optimal solutions as the saddle points of the Lagrangian function associated with the problem, we propose a distributed algorithm, named the distributed primal-dual subgradient method, to provide approximate saddle points of the Lagrangian function, based on ...
Nesterov, Y.: Primal-dual subgradient methods for convex problems. Math. Programm. 120(1), 221–259 (2009) Article MathSciNet Google Scholar Shalev-Shwartz, S., Ben-David, S.: Understanding Machine Learning: From Theory to Algorithms. Cambridge University Press, Cambridge (2014) Book Google...
A new primal-dual infeasible interior-point algorithm for second-order cone programming was presented,by which the ε-approximate solution can be obtained in O(nln(1/ε)) iterations.This algorithm requires that all iterative points are in the neighborhood of the infeasible central path,but does ...
Our methods are primal-dual since they are always able to generate a feasible approximation to the optimum of an appropriately formulated dual problem. Besides other advantages, this useful feature provides the methods with a reliable stopping criterion. The proposed schemes differ from the classical ...
This study investigates the intricate connections between relational wellbeing and individual resilience, through family and community protective factors. As such, we aim to bridge an existing gap in resilience literature by examining the elements that c