Global convergence to rst-order critical points is proved for two trust-region SQP-lter algorithms of the type introduced by Fletcher and Leyyer (1997). The algorithms allow for an approximate solution of the quadratic subproblem and incorporate the safeguarding tests described in Fletcher, Leyyer and Toint (1998). The rst algorithm decomposes the step into its normal and tangential components ...

Global optimization is necessary in some cases when we want to achieve the best solution or we require a new solution which is better the old one. However global optimization is a hazard problem. Gradient descent method is a well-known technique to find out local optimizer whereas approximation solution approach aims to simplify how to solve the global optimization problem. In order to find out...

We consider the global minimization of a bound-constrained function with a so-called funnel structure. We develop a two-phase procedure that uses sampling, local optimization, and Gaussian smoothing to construct a smooth model of the underlying funnel. The procedure is embedded in a trust-region framework that avoids the pitfalls of a fixed sampling radius. We present a numerical comparison to ...

This work presents a novel method for accurate estimation of perspective transformations in images. Recent publications have shown that considering a rich geometric transformation model of salient local regions, is extremely bene cial for the purpose of point matching.Yet, those methods are not used extensively for two reasons. First, because they are computationally more demanding, second reas...

Historically, studies of brain metabolism have been based on targeted analyses of a limited number of metabolites. Here we present an untargeted mass spectrometry-based metabolomic strategy that has successfully uncovered differences in a broad array of metabolites across anatomical regions of the mouse brain. The NSG immunodeficient mouse model was chosen because of its ability to undergo huma...

tor several decades, electricity production and use have been a growing source of concern among individuals and groups monitoring the quality of the environment. Emissions from coalfired power plants, impacts of hydroelectric development, and risks associated with nuclear energy use have been particular targets for political action, dating to the early days of the environmental movement in the ...

■ Abstract Although human-induced changes to the global environment and natural biotic resources, collectively labeled “global change” and the “biodiversity crisis,” have accelerated with industrialization over the past 300 years, such changes have a much longer history. Particularly since the rise of agriculturally based societies and associated population expansion during the early Holocene, ...

strengthening the health workforce and universal health coverage (uhc) are among key targets in the heathrelated sustainable development goals (sdgs) to be committed by the united nations (un) member states in september 2015. the health workforce, the backbone of health systems, contributes to functioning delivery systems. equitable distribution of functioning services is indispensable to achie...