Global convergence of the nonmonotone MBFGS method for nonconvex unconstrained minimization

AbstractIn this paper, we propose a new nonmonotone Armijo type line search and prove that the MBFGS method proposed by Li and Fukushima with this new line search converges globally for nonconvex minimization. Some numerical experiments show that this nonmonotone MBFGS method is efficient for the given test problems

Finite projective planes admitting a projective linear group PSL (2,q)

AbstractLet S be a projective plane, and let G⩽Aut(S) and PSL(2,q)⩽G⩽PΓL(2,q) with q>3. If G acts point-transitively on S, then q=7 and S is of order 2

Preparation and In Vitro Drug Release Behavior of 1,10-Phenanthroline/β-cyclodextrin–poly (Glycidyl Methacrylate) Drug-Loaded Microspheres

In this study, novel star-shaped polymers of β-cyclodextrin (β-CD)–poly (glycidyl methacrylate) (PGMA) were prepared by atom transfer radical polymerization (ATRP), formed from GMA and β-CD. In addition, the structure, properties and hydrophilicity of the β-CD-PGMA polymers thus prepared were systematically analyzed. 1,10-phenanthroline monohydrate (Phen)/β-CD-PGMA drug-loaded microspheres were prepared by emulsion solvent evaporation. The optimum preparation conditions were determined by orthogonal tests. Analysis results indicated that the performance of star-shaped polymers of β-CD-PGMA clearly changes, resulting in the increase of the contact angle from 17° to 72.5°, and their thermal degradation temperature was enhanced from 260 °C to 401 °C. Moreover, β-CD-PGMA drug-loaded microspheres with a smooth, spherical surface were successfully prepared, and the drug-loading capacity and average particle size of drug-loaded microspheres were 26.67 % and 10 μm, respectively. Drug release tests indicated that the release behavior of β-CD-PGMA drug-loaded microspheres conformed to Higuchi release kinetics, which exhibited a significant drug delivery capability. The release rate and utilization of β-CD-PGMA were greater than that of β-CD, demonstrating that β-CD-PGMA was more suitable as a drug delivery material

Empirical Study of the Effect of Website Information Architecture on Customer Loyalty

Website customer loyalty is believed to be very important to the success of E-Commerce firms. Based on document review, this study constructs a customer loyalty effect model which chooses organization, navigation, labeling and searching system as dependent variables as well as attitude and behavior loyalty as variables. The sample of the study was drawn from 250 students who have online shopping experience, 202 of usable questionnaires were included in the data analysis. Data analyses using correlation and regression analysis reveal that there was a strong and positive relationship between information architecture and customer loyalty. Also, organization, navigation, labeling and search systems were positively correlated with customer loyalty. The results could be a reference for designing of the E-Commerce website