Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization under linear constraints where the objective could be non-smooth. We introduce new proof techniques for ADM in the batch setting, which yields a O(1/T ) conve...

combination of a's yields the numerical coefficient for that combination. For example, in the summation for Su given in Table 2, 1/ao4 has as the ai*-1aB_*+i coefficient ai3a8 which, in turn, has the numerical coefficient 11. The ai2a3a6 combination has 2 ! X 1 ! X 1 ! as the product of the factorials of the exponents. If 11 X 3 ! X 1 ! is divided by 2 ! X 1 ! X 1 !, the result is 33 which is t...

A continuous approach using NCP function for approximating the solution of the max-cut problem is proposed. The max-cut problem is relaxed into an equivalent nonlinearly constrained continuous optimization problem and a feasible direction method without line searches is presented for generating an optimal solution of the relaxed continuous optimization problem. The convergence of the algorithm ...

This paper presents an integrated approach feasible direction method and genetic algorithm (FDM+GA) to investigate the planning of large-scale passive harmonic filters. The optimal filter scheme can be obtained from a system under abundant harmonic current sources where harmonic amplification problems should be avoided. The constraints of harmonics with orders lower than the filter tuned-points...

sedimentation is one of the most important problems in harbors that results in considerable economic costs. harbor planforms affects the flow pattern in the harbor basin and consequently, plays an important role in sediment transport and sedimentation. in the present study, a two dimensional depth-averaged hydrodynamic and sediment transport model has been developed to investigate the effect of...

In this work we present a new feasible direction algorithm for solving smooth nonlinear second-order cone programs. These problems consist of minimizing a nonlinear differentiable objective function subject to some nonlinear second-order cone constraints. Given a point interior to the feasible set defined by the nonlinear constraints, the proposed approach computes a feasible and descent direct...

The miscible displacement process appears to be an increasingly feasible method for the extraction of oil from depleted reservoirs. How‌ever, there is a lack of fundamental understanding of how fracture geometrical characteristics impact the oil recovery efficiency in this type of enhanced oil recovery technique. In this work, a series of experimental tests were conducted whereby the n-Hept...

Computational methods are considered for finding a point that satisfies the secondorder necessary conditions for a general (possibly nonconvex) quadratic program (QP). The first part of the paper defines a framework for the formulation and analysis of feasible-point active-set methods for QP. This framework defines a class of methods in which a primal-dual search pair is the solution of an equa...

the miscible displacement process appears to be an increasingly feasible method for the extraction of oil from depleted reservoirs. how­ever, there is a lack of fundamental understanding of how fracture geometrical characteristics impact the oil recovery efficiency in this type of enhanced oil recovery technique. in this work, a series of experimental tests were conducted whereby the n-heptane ...