Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure

National Natural Science Foundation of China [11271308]; Natural Science Foundation of Fujian Province of China for Distinguished Young Scholars [2010J06002]; NCET; General Research Fund from Hong Kong Research Grants Council [203712]This paper shows that the alternating direction method of multipliers (ADMM) is efficient for solving the semidefinite inverse quadratic eigenvalue problem (SDIQEP) with a partial eigenstructure. We derive several ADMM-based iterative schemes for SDIQEP and demonstrate their efficiency for large-scale cases of SDIQEP numerically

Composite Edible Film Containing Microcapsules Composed of Shrimp-derived Bioactive Peptide Preparation and Preservation Potential

Shrimp body had to face with spoilage and melanosis when it come to food preservation. In this study, a kind of composite edible film (CEF) composed of hydroxypropyl methyl cellulose (HPMC) and shrimp-derived bioactive peptide microcapsule (SBPM), was developed to preserve the body of Penaeus vannamei. First of all, single-factor experiments were conducted by monitoring the mechanical performance and the water vapor permeability (WVP) of CEF, in order to investigate the influence of the dosages of HPMC, glycerol and SBPM, upon the formulation properties and mechanical strength of the film. The FTIR and free radical scavenging capacity of CEF were also determined when the SBPM addition changed and then, the optimum preparation process of CEF was ascertained based on the results mentioned above. In addition, the preservation-effect of CEF on fresh Penaeus vannamei was evaluated by inspecting some important items such as the sensory evaluation, pH, total volatile basic nitrogen (TVB-N) and aerobic bacterial count of shrimp flesh. The results of the single-factor experiments indicated the optimum amounts of HPMC, glycerol and SBPM were 12%, 0.4% and 3%, respectively, and the comprehensive performance of CEF was satisfied under this optimum condition. The antioxidant ability of CEF was excellent when the dosage of SBPM was not less than 3% and, the interaction between SBPM and other membrane fractions was powerful when the addition amount of SBPM came to be 3%~4%, which was indicated by the FTIR results. More importantly, the spoilage of shrimp body could be controlled by covering the body with CEF and, the sensory of seafood might be maintained by this film, as evidenced by the inhibitory effects of CEF on the raising of body pH, the jump of TVB-N and the increase of aerobic bacterial count in shrimp fresh. The quality guarantee period of fresh body in CEF group could be prolonged by 3~4 days as compared with that in unprotected group, while the overall freshness-keeping ablility of CEF was superior to that of HPMC film even PE film, indicating the potent protective effect of CEF on the fresh of Penaeus vannamei

Paleomagnetic Study of Mesozoic Continental Sediments Along the Northern Tien Shan (China) and Heterogeneous Strain in Central Asia

A paleomagnetic study of rocks from the northern foot of the Tien Shan and the southern border of the Dzungar Basin, east of Urumqi (44.2°N, 86.0°E), spanning ages from middle Jurassic to early Tertiary was carried out to constrain the tectonic evolution in central Asia since Mesozoic time. Five middle Jurassic sites reveal a remagnetized direction close to the present Earth field in geographic coordinates: D = 6.6°, I = 72.6° (α_(95) = 7.4°). Thirteen out of 17 upper Jurassic and lower Cretaceous sites yield a characteristic direction (stratigraphic coordinates) of D = 12.7°, I = 48.6° (α_(95) = 5.5°). Nine of 16 upper Cretaceous and lower Tertiary sites provide a characteristic direction of D = 12.5°, I = 51.3° (α_(95) = 6.9°). The latter two directions pass fold and reversal tests. The pole positions are close to each other and to the Besse and Courtillot [1989, 1990] Eurasian apparent polar wander path, for ages ranging from 130 to 70 Ma. However, the difference in paleolatitudes amounts to about 5.9° ± 3.7°, which could indicate significant continental shortening in the Altai Mountains and perhaps further north, subsequent to India-Asia collision. The pole positions from the Dzungar Basin are close to those found for the Tarim [Li et al., 1988a], leading to an insignificant paleolatitude difference (3.0° ± 6.9°), but showing a larger difference in declination (8.6° ± 8.7°). These paleomagnetic results are compatible with a model of heterogeneous deformation in the western part of the collision zone between India and Siberia. A significant shortening in the Altai, a slight counterclockwise rotation of the Dzungar block, the westward-increasing shortening in the Tien Shan with attendant clockwise rotation of the Tarim block are all consistent with this model, in which Tibet, the Tien Shan and the Altai undergo differential strain along strike in a relay fashion, with the total India-Siberia convergence remaining approximately constant

Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure

This paper shows that the alternating direction method of multipliers (ADMM) is efficient for solving the semidefinite inverse quadratic eigenvalue problem (SDIQEP) with a partial eigenstructure. We derive several ADMM-based iterative schemes for SDIQEP and demonstrate their efficiency for large-scale cases of SDIQEP numerically. © 2013 IOP Publishing Ltd.Link_to_subscribed_fulltex

GRAFTING POLY(N-ISOPROPYL ACRYLAMIDE) FROM POLY(VINYLIDENE FLUORIDE) MIROFILTRATION, MEMBRANES VIA DIRECT SURFACE-INITIATED, ATOM TRANSFER RADICAL POLYMERIZATION, AND TEMPERATURE SENSITIVITY

Well-defined poly(N-isopropyl acrylamide) (PNIPAAm) brushes on commercial hydrophobic poly(vinylidene fluoride) (PVDF) microfiltration membrane surfaces were prepared, via direct atom transfer radical polymerization (ATRP) with the secondary fluorinated site of PVDF as initiator and water as solvent at 80°C. The effect of solvents on the ATRP was studied in detail. The water as reaction solvent was in favor of surface-initiated ATRP of N-isopropyl acrylamide (NIPAAm) from secondary fluoride of PVDF membranes. The chemical composition and structure of the modified PVDF membrane surfaces were determined by attenuated total reflectance (ATR) Fourier transform infrared spectroscopy and X-ray photoelectron spectroscopy. The surface and cross-section morphology of membranes were studied by scanning electron microscopy (SEM). The pore sizes of the pristine PVDF membrane and the PNIPAAm-grafted PVDF membranes were measured using micro-image analysis and process software. The introduction of the well-defined PNIPAAm on the PVDF membrane gave rise to hydrophilicity. Water contact angles of PVDF membranes reduced after the surface grafting of PNIPAAm. Water fluxes and protein solution permeation experiments revealed that the PNIPAAm-grafted PVDF membranes exhibited temperature-responsive permeability. The unique microstructure of PNIPAAm brushes facilitated hydrophilicity below the lower critical solution temperature.Poly(vinylidene fluoride), membrane, ATRP, temperature sensitivity