Iterative methods are proposed for certain augmented systems of linear equations that arise in interior methods for general nonlinear optimization. Interior methods define a sequence of KKT equations that represent the symmetrized (but indefinite) equations associated with Newton’s method for a point satisfying the perturbed optimality conditions. These equations involve both the primal and dua...

Conditional gradient algorithms (aka Frank–Wolfe algorithms) form a classical set of methods for constrained smooth convex minimization due to their simplicity, the absence projection steps, and competitive numerical performance. While vanilla algorithm only ensures worst-case rate $${\mathcal {O}}(1/\epsilon )$$ , various recent results have shown that strongly functions on polytopes, method c...

Augmented shared workspaces are an instance of augmented reality which move the collaborative work from the desktop to the real workplace, enabling higher interaction level with coworkers and allowing implementation of advanced techniques of human-machine interfaces. In this paper, we advocate the employment of a constraint system as the document model (or program) for the implementation of aug...

the aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in bcialgebras and to investigate some of their properties. several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of bci-algebras i...

The most important issue in multi-objective optimization problems is to determine the Pareto points along the Pareto frontier. If the optimization problem involves multiple conflicting objectives, the results obtained from the Pareto-optimality will have the trade-off solutions that shaping the Pareto frontier. Each of these solutions lies at the boundary of the Pareto frontier, such that the i...

for effective crisis management, appropriate telecommunications, which are required to fast response, are crucial. therefore, lack of existing proper telecommunications detract senior managers’ awareness about crisis conditions and also disturb rescuers in relief, causing increasing attendance time to the injured and fatalities. transfer point location problem is one of the new issues in the li...

Ligation of Fc receptors for immunoglobulin G (FcgammaRs) inhibits lipopolysaccharide (LPS)-stimulated secretion of interleukin (IL)-12 by macrophages. FcgammaR activation of protein kinase C (PKC) contributes to several functions of this receptor including phagocytosis, activation of the reduced nicotinamide adenine dinucleotide phosphate oxidase, and secretion of certain cytokines. Therefore,...