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矩阵方程X+A*X-nA=I的正定解 总被引:5,自引:1,他引:5
廖安平 《高等学校计算数学学报》2004,26(2):156-161
In this paper we give some sufficient conditions and some necessary conditions under which the matrix equation X A^*X^-nA=I has a positive definite solution. An iterative method which converges to a positive definite solution of this equation is constructed. And an error estimate formula on this iterative method is also derived. 相似文献
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Guo Yanfeng Liu Anping Yang Xianghui Wang Xiaomei 《Annals of Differential Equations》2005,21(3):286-289
In this paper, oscillatory properties for solutions of certain nonlinear impulsive parabolic equation are investigated and a series of new sufficient conditions is established. 相似文献
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航空发动机叶片气动弹性动力响应的数值方法研究进展 总被引:1,自引:0,他引:1
流动诱发振动造成的航空发动机叶片高周疲劳失效问题深受关注.对叶片的气动弹性动力响应研究的数值方法及进展进行了回顾,总结了航空发动机叶片振动响应实验研究和数值模拟研究的典型成果与特点,并对未来研究发展趋势进行展望.指出进一步的机理研究将集中于不稳定流动因素引发叶片强迫振动发作规律的探索以及更贴近流固耦合物理机制的气动弹性数值模拟方法的发展;在工程需求牵引下,建立适用于工程预测的动力响应分析模型,在设计过程中科学评价叶片气动弹性动力响应问题的潜在风险和发展流动控制基础上的气动阻尼减振技术值得进一步关注. 相似文献
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The establishment of an immunoaffinity chromatography (IAC) for simultaneously selective extraction of four illegal colorants Sudan dyes (Sudan I, II, II and IV) from food samples was described. The IAC column was constructed by covalently coupling monoclonal antibody (mAb) against Sudan I to CNBr-activated Sepharose 4B and packed into a common solid phase extraction (SPE) cartridge. It was observed that IAC column was able to separately capture Sudan I, II, III and IV with maximum capacity of 295, 156, 184 and 173ng, respectively. The extraction conditions including loading, washing and eluting solutions were carefully optimized. Under optimal conditions, the extraction recoveries of the IAC column for Sudan I-IV at two different spiked concentrations were within 95.3-106.9%. After 50 times repeated usage, 64% of the maximum capacity was still remained. Six food samples randomly collected from local supermarket without spiking Sudan dyes were extracted with IAC column and detected by high performance liquid chromatography (HPLC). It was found that there was no detectable Sudan II, III and IV in all six food samples, but Sudan I with the content of 2.7-134.5ngg(-1) was detected in three food samples. To further verify the extraction efficiency, other three negative samples were spiked with Sudan I-IV at the concentrations of 20ngg(-1) and 50ngg(-1), which were then extracted with IAC column. The extraction recoveries and relative standard deviation (RSD) were 68.6-96.0% and 4.8-15.2%, respectively, demonstrating the feasibility of the prepared IAC column for Sudan dyes extraction. 相似文献
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本文发展了一种以有限元技术为基础的数值方法,用它分析有损耗波导中的非线性TE模。在这种方法中,非线性有损耗波导中TE波与功率有关的复传播常数和局城电场分布,可从这种波导直接得到,没有任何近似。作为这种方法的应用,计算了非线性有损耗波导系统中TE0模的功率色散关系和电场分布。 相似文献