We consider the asymptotic behavior of the Newton/log barrier method for inequality constrained optimization. We show that, when the objective function is linear, an eeective step can be taken along the Newton direction after each reduction in the barrier parameter, leading to eecient performance during the nal stages of the algorithm. This behavior contrasts with the case of a nonlinear object...

A protein packaging film was successfully prepared using whey protein concentrate (WPC) as raw material. Protein concentration, plasticizers concentration and temperature were discussed. Research results show that the increasing of protein concentration lead to decreasing barrier properties of WPC film but improving its mechanical properties. Though barrier properties of WPC film lost to some e...

The performance of the barrier operation can be crucial for many parallel codes. Especially distributed shared memory systems have to synchronize frequently to ensure the proper ordering of memory accesses. The barrier operation is often performed on top of point-to-point messages and the best algorithm scales with O(log2P · L) in the LogP model. We propose a cheap hardware extension which is a...

A key feature to ensure desirable convergence properties in an interior point method is the appropriate choice of an updating rule for the barrier parameter. In this work we analyze and describe updating rules based on the use of a vector of barrier parameters. We show that these updating rules are well defined and satisfy sufficient conditions to ensure con vergence to the correct limit points...

This article presents a short history and the recent advancement of the development of chemical vapor deposition technologies to form thin film gas barrier coatings on PET bottles and other plastic containers in food and beverage containers. Among different gas barrier enhancement technologies, coating can show unique performance where relatively high gas barrier enhancement is possible to vari...