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在一般的数学模型中,由于要忽略一些次要因素,所建的模型往往是近似的,且对数学模型利用数值算法所求得的解大多是近似解。另一方面,在可行集非紧的情况下,精确解的解集往往是空集,而在较弱的条件下近似解集可以是非空的。在Hausdorff局部凸拓扑线性空间中分别研究了无约束和带约束集值均衡问题近似Benson真有效解。在没有任何凸性假设下,利用非线性泛函分别建立了最优性条件。  相似文献   
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Fei-Fei Lu 《中国物理 B》2022,31(3):35201-035201
The dispersion relation and damping rate of kinetic Alfvén waves (KAWs) in a deuterium-tritium fusion plasma with slowing-down distributed $\alpha$-particles are investigated using the kinetic theory. The variations of wave frequency and damping rate with respect to the $\alpha$ concentration (${n_{\alpha}/n_{\rm e}}$) and perpendicular wave number (${k_ \bot }$) are studied from a numerical way. The results show that the fluctuation of $\alpha$ concentration slightly affects the frequency and damping rate of KAWs at low ${n_{\alpha}/n_{\rm e}}$. In addition, the frequency and the damping rate increase as the ${k_ \bot}$ and the background temperature ${T_{\rm e}}$ increase. For comparison, the calculations are performed also in the case of $\alpha$-particles following an equivalent Maxwellian distribution. For a given ${k_ \bot }$, the value of the frequency obtained in the slowing-down distribution case is smaller than that obtained in the Maxwellian distribution case. Conversely, the value of the damping rate obtained in the slowing-down distribution case is slightly larger than that obtained in the Maxwellian distribution case.  相似文献   
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The alternating direction method of multipliers(ADMM)is a widely used method for solving many convex minimization models arising in signal and image processing.In this paper,we propose an inertial ADMM for solving a two-block separable convex minimization problem with linear equality constraints.This algorithm is obtained by making use of the inertial Douglas-Rachford splitting algorithm to the corresponding dual of the primal problem.We study the convergence analysis of the proposed algorithm in infinite-dimensional Hilbert spaces.Furthermore,we apply the proposed algorithm on the robust principal component analysis problem and also compare it with other state-of-the-art algorithms.Numerical results demonstrate the advantage of the proposed algorithm.  相似文献   
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Zhang  Qi  Xu  Yihong 《Positivity》2021,25(5):1899-1901
Positivity - We point out that Theorem 5.1 in Khushboo and Lalitha (Positivity 23:1195–1213, 2019) only considers a very special case, we modify the Theorem.  相似文献   
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Nanoparticles of ZnS:Fe (0, 1, 3, and 5 at%) were synthesized by a refluxing route at 80 °C. All the samples exhibited cubic structure as revealed by X-ray powder diffraction studies. Blue emission of undoped samples was totally quenched by Fe doping. Magnetic measurements showed that the undoped ZnS was diamagnetic whereas all the doped samples were paramagnetic at room temperature. EPR signal characteristic of Fe3+ was observed in all the doped samples at room temperature. The paramagnetism of the present samples is attributed to the presence of uncoupled Fe3+ ions mediated by cation vacancies.  相似文献   
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A heterostructured semiconductor–metal ZnO?Ag nanoparticle (NP) composite was constructed through a straightforward photocatalytic strategy by using UV irradiation of ZnO NPs and an aqueous solution of Ag precursor. The ZnO?Ag NP composites serve as an effective cathode‐modifying layer in polymer solar cells (PSCs) with increased short‐circuit current density owing to the light‐trapping effect, and improved optical and electrical conductivity properties compared with pure ZnO NPs. The Ag NPs, which are photodeposited in situ on ZnO NPs, can act as effective antennas for incident light to maximize light harvesting and minimize radiative decay or nonradiative losses, consequently resulting in the enhanced photogeneration of excitons in PSCs. Systematic photoelectron and ‐physical investigations confirm that heterostructured ZnO?Ag NPs can significantly improve charge separation, transport, and collection, as well as lower charge recombination at the cathode interface, leading to a 14.0 % improvement in air‐processed device power conversion efficiency. In addition, this processable, cost‐effective, and scalable approach is compatible with roll‐to‐roll manufacturing of large‐scale PSCs.  相似文献   
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提出一种改进的克隆选择算法用于解决混沌系统的参数辨识问题.该算法利用抗体的高频变异和受体编辑两种机制有效平衡算法的全局探索与局部开发,并引入向精英抗体学习策略进一步提高算法的收敛质量.对10个优化问题的实验表明:所提出算法在求解精度、收敛速度以及稳定性方面具有更好的性能.以参数未知统一混沌系统的同步控制为研究对象,合理设计同步控制器,并对同步系统的稳定性进行理论分析.通过对同步比例因子的设置,实现统一混沌系统的完全同步、反同步、投影同步等多种同步方式.仿真实验结果表明该方法能够实现对未知系统参数的精确辨识以及驱动-响应系统的有效同步控制,验证了所提方法的可行性与有效性.  相似文献   
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Jiang  Xin  Zhao  Dongxiao  Chen  Jialiang  Li  Wenting  Li  Kexin  Chen  Chao 《Kinetics and Catalysis》2022,63(5):470-479
Kinetics and Catalysis - A ternary synergistic photocatalyst H3PW12O40/Pt/UiO-66-NH2 was successfully fabricated for the first time through a simple solvothermal synthetic strategy. We found that...  相似文献   
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