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In the present paper,we study the restricted inexact Newton-type method for solving the generalized equation 0∈f(x)+F(x),where X and Y are Banach spaces,f:X→Y is a Frechet differentiable function and F:X■Y is a set-valued mapping with closed graph.We establish the convergence criteria of the restricted inexact Newton-type method,which guarantees the existence of any sequence generated by this method and show this generated sequence is convergent linearly and quadratically according to the particular assumptions on the Frechet derivative of f.Indeed,we obtain semilocal and local convergence results of restricted inexact Newton-type method for solving the above generalized equation when the Frechet derivative of f is continuous and Lipschitz continuous as well as f+F is metrically regular.An application of this method to variational inequality is given.In addition,a numerical experiment is given which illustrates the theoretical result.  相似文献   
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《Discrete Mathematics》2022,345(12):113083
Let G be a graph, ν(G) the order of G, κ(G) the connectivity of G and k a positive integer such that k(ν(G)?2)/2. Then G is said to be k-extendable if it has a matching of size k and every matching of size k extends to a perfect matching of G. A Hamiltonian path of a graph G is a spanning path of G. A bipartite graph G with vertex sets V1 and V2 is defined to be Hamiltonian-laceable if such that |V1|=|V2| and for every pair of vertices pV1 and qV2, there exists a Hamiltonian path in G with endpoints p and q, or |V1|=|V2|+1 and for every pair of vertices p,qV1,pq, there exists a Hamiltonian path in G with endpoints p and q. Let G be a bipartite graph with bipartition (X,Y). Define bn(G) to be a maximum integer such that 0bn(G)<min{|X|,|Y|} and (1) for each non-empty subset S of X, if |S||X|?bn(G), then |N(S)||S|+bn(G), and if |X|?bn(G)<|S||X|, then N(S)=Y; and (2) for each non-empty subset S of Y, if |S||Y|?bn(G), then |N(S)||S|+bn(G), and if |Y|?bn(G)<|S||Y|, then N(S)=X; and (3) bn(G)=0 if there is no non-negative integer satisfying (1) and (2).Let G be a bipartite graph with bipartition (X,Y) such that |X|=|Y| and bn(G)>0. In this paper, we show that if ν(G)2κ(G)+4bn(G)?4, then G is Hamiltonian-laceable; or if ν(G)>6bn(G)?2, then for every pair of vertices xX and yY, there is an (x,y)-path P in G with |V(P)|6bn(G)?2. We show some of its corollaries in k-extendable, bipartite graphs and a conjecture in k-extendable graphs.  相似文献   
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本文研究了数值求解非自治随机微分方程的正则Euler-Maruyama分裂(CEMS)方法,该方程的漂移项系数带有刚性且允许超线性增长,扩散项系数满足全局Lipschitz条件.首先,证明了CEMS方法的强收敛性及收敛速度.其次,证明了在适当条件下CEMS方法是均方稳定的.进一步,利用离散半鞅收敛定理,研究了CEMS方法的几乎必然指数稳定性.结果表明,CEMS方法在漂移系数的刚性部分满足单边Lipschitz条件下可保持几乎必然指数稳定性.最后通过数值实验,检验了CEMS方法的有效性并证实了我们的理论结果.  相似文献   
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A reasonable prediction of photofission observables plays a paramount role in understanding the photofission process and guiding various photofission-induced applications, such as short-lived isotope production, nuclear waste disposal, and nuclear safeguards. However, the available experimental data for photofission observables are limited, and the existing models and programs have mainly been developed for neutron-induced fission processes. In this study, a general framework is proposed for characterizing the photofission observables of actinides, including the mass yield distributions (MYD) and isobaric charge distributions (ICD) of fission fragments and the multiplicity and energy distributions of prompt neutrons (np) and prompt γ rays (γp). The framework encompasses various systematic neutron models and empirical models considering the Bohr hypothesis and does not rely on the experimental data as input. These models are then validated individually against experimental data at an average excitation energy below 30 MeV, which shows the reliability and robustness of the general framework. Finally, we employ this framework to predict the characteristics of photofission fragments and the emissions of prompt particles for typical actinides including 232Th, 235, 238U and 240Pu. It is found that the 238U(γ, f) reaction is more suitable for producing neutron-rich nuclei compared to the 232Th(γ, f) reaction. In addition, the average multiplicity number of both np and γp increases with the average excitation energy.  相似文献   
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针对二维球坐标系下中子输运方程的SN算法, 提出基于(单元, 方向)二元组的有向图模型, 在已有的基于有向图的并行流水线算法基础上, 设计粒度可控多级并行SN算法。其中, 采用区域分解和并行流水线相结合的方式挖掘空间-角度方向的并行度, 提出能群流水并行方法, 并通过设置合适的流水线粒度来平衡有向图调度、通信和空闲等待开销。实验结果表明: 该算法可以有效地求解二维球坐标系下的中子输运方程。在某国产并行机1920核上, 对于96万网格、60个方向、24能群、数十亿自由度的典型中子输运问题, 获得了71%的并行效率。  相似文献   
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