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101.
102.
Marc Baboulin Jack Dongarra Serge Gratton Julien Langou 《Numerical Linear Algebra with Applications》2009,16(7):517-533
In this paper, we address the accuracy of the results for the overdetermined full rank linear least‐squares problem. We recall theoretical results obtained in (SIAM J. Matrix Anal. Appl. 2007; 29 (2):413–433) on conditioning of the least‐squares solution and the components of the solution when the matrix perturbations are measured in Frobenius or spectral norms. Then we define computable estimates for these condition numbers and we interpret them in terms of statistical quantities when the regression matrix and the right‐hand side are perturbed. In particular, we show that in the classical linear statistical model, the ratio of the variance of one component of the solution by the variance of the right‐hand side is exactly the condition number of this solution component when only perturbations on the right‐hand side are considered. We explain how to compute the variance–covariance matrix and the least‐squares conditioning using the libraries LAPACK (LAPACK Users' Guide (3rd edn). SIAM: Philadelphia, 1999) and ScaLAPACK (ScaLAPACK Users' Guide. SIAM: Philadelphia, 1997) and we give the corresponding computational cost. Finally we present a small historical numerical example that was used by Laplace (Théorie Analytique des Probabilités. Mme Ve Courcier, 1820; 497–530) for computing the mass of Jupiter and a physical application if the area of space geodesy. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
103.
Julien Nicolas Ségolène Brusseau Bernadette Charleux 《Journal of polymer science. Part A, Polymer chemistry》2010,48(1):34-47
Nitroxide‐mediated controlled/living free‐radical polymerization of methyl methacrylate initiated by the SG1‐based alkoxyamine BlocBuilder was successfully performed in bulk at 80–99 °C with the help of a very small amount of acrylonitrile (AN, 2.2–8.8 mol %) as a comonomer. Well‐defined PMMA‐rich P(MMA‐co‐AN) copolymers were prepared with the number‐average molar mass, Mn, in the 6.1–32 kg mol?1 range and polydispersity indexes as low as 1.24. Incorporation of AN in the copolymers was demonstrated by 1H and 13C NMR spectroscopy, and its effect on the chain thermal properties was evaluated by DSC and TGA analyses. Investigation of chain‐end functionalization by an alkoxyamine group was performed by means of 31P NMR spectroscopy and chain extensions from a P(MMA‐co‐AN)‐SG1 macroinitiator. It demonstrated the very high proportion of SG1‐terminated polymer chains, which opened the door to block copolymer synthesis with a high quality of control. © 2009 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 48: 34–47, 2010 相似文献
104.
Jean-Philippe Uzan George F. R. Ellis Julien Larena 《General Relativity and Gravitation》2011,43(1):191-205
In order to understand how locally static configurations around gravitationally bound bodies can be embedded in an expanding
universe, we investigate the solutions of general relativity describing a space–time whose spatial sections have the topology
of a 3-sphere with two identical masses at the poles. We show that Israel junction conditions imply that two spherically symmetric
static regions around the masses cannot be glued together. If one is interested in an exterior solution, this prevents the
geometry around the masses to be of the Schwarzschild type and leads to the introduction of a cosmological constant. The study
of the extension of the Kottler space–time shows that there exists a non-static solution consisting of two static regions
surrounding the masses that match a Kantowski–Sachs expanding region on the cosmological horizon. The comparison with a Swiss-Cheese
construction is also discussed. 相似文献
105.
106.
107.
Julien Labaune J. Bianca Jackson Kaori Fukunaga Jeffrey White Laura d’Alessandro Alison Whyte Michel Menu Gerard Mourou 《Applied Physics A: Materials Science & Processing》2011,105(1):5-9
Terahertz Time Domain Imaging has been used in the last few years for the investigation of cultural heritage. In this article,
the authors demonstrate the possibility to apply it for the investigation of clay artifacts. Tomographic images were obtained
of a model in reflection, and an Egyptian vessel in transmission. 相似文献
108.
Julien Legault Abderrazak Mejdi Noureddine Atalla 《Journal of sound and vibration》2011,330(24):5928-5948
This paper investigates the effects of finite dimensions on the vibro-acoustic response of orthogonally stiffened panels. Three types of excitations are considered: acoustical excitation, point force excitation and random excitation by a turbulent boundary layer. In each case, a spatially windowed periodic model is compared with a Rayleigh-Ritz model where the modes of the un-stiffened panel are used as the basis functions. The latter model accounts for the reflected wave field generated at the boundaries by assuming that the panel is simply supported. On the contrary, the windowed periodic model only accounts for finiteness on sound radiation (the assumption of an infinite periodic structure is used to calculate the panel response). Numerical studies show that when the bending wavelength becomes comparable or smaller than the stiffener spacing, the periodic model is able to reproduce the results obtained with the Rayleigh-Ritz model. To complement the study, the developed models are compared with numerical simulations (finite element method) and with experimental results. 相似文献
109.
110.
Viciu L Caruntu G Royant N Koenig J Zhou WL Kodenkandath TA Wiley JB 《Inorganic chemistry》2002,41(13):3385-3388
A new series of transition-metal oxyhalides (MCl)LaNb(2)O(7) (M = Cr, Mn, Fe, Co) have been prepared by a simple topochemical route. Layered perovskite hosts (ALaNb(2)O(7), A = Li, Na, K or Rb) were reacted with the corresponding anhydrous metal halides under mild reaction conditions (<400 degrees C). The compounds were examined by X-ray powder diffraction; the series appears to be isostructural with (CuCl)LaNb(2)O(7), and the layer spacings, with the exception of M = Co, follow the trend expected from transition-metal cationic radii. Thermal analysis with differential scanning calorimetry (DSC) shows the materials to be metastable where all four compounds decompose exothermically above 690 degrees C. 相似文献