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1.
In this paper we study a special kind of optimization problems with linear complementarity constraints. First, by a generalized complementarity function and perturbed technique, the discussed problem is transformed into a family of general nonlinear optimization problems containing parameters. And then, using a special penalty function as a merit function, we establish a sequential systems of linear equations (SSLE) algorithm. Three systems of equations solved at each iteration have the same coefficients. Under some suitable conditions, the algorithm is proved to possess not only global convergence, but also strong and superlinear convergence. At the end of the paper, some preliminary numerical experiments are reported.  相似文献
2.
简金宝 《数学学报》2004,47(4):781-792
本文讨论无严格互补性的非线性不等式约束最优化问题,建立了一个新的序列线性方程组算法。算法每次迭代只需解一个线性方程组或计算一次广义梯度投影,并不要求Lagrange函数的近似Hessian阵正定。在较弱的假设下,证明了算法的整体收敛性、强收敛性、超线性收敛性及二次收敛速度。还对算法进行了有效的数值试验。  相似文献
3.
In this paper, the logarithmically complete monotonicity of the function exΓ(x+β)/xx+βα in (0,∞) for αR and β?0 is considered and the corresponding result by G.D. Anderson, R.W. Barnard, K.C. Richards, M.K. Vamanamurthy and M. Vuorinen is generalized. As applications of these results, some inequalities between identric mean and ratio of two gamma functions by J.D. Ke?ki? and P.M. Vasi? are extended.  相似文献
4.
In this paper we study the blow-up criterion of smooth solutions to the incompressible magnetohydrodynamics system in BMO space. Let (u(x,t),b(x,t)) be smooth solutions in (0, T). It is shown that the solution (u(x, t), b(x, t)) can be extended beyond t = T if (u(x,t), b(x, t)) ∈ L^1 (0, T; BMO) or the vorticity (rot u(x, t), rot b(x, t)) ∈ L^1 (0, T; BMO) or the deformation (Def u(x, t), Def b(x, t)) ∈ L^1 (0, T; BMO).  相似文献
5.
This paper discusses optimization problems with nonlinear inequality constraints and presents a new sequential quadratically-constrained quadratic programming (NSQCQP) method of feasible directions for solving such problems. At each iteration. the NSQCQP method solves only one subproblem which consists of a convex quadratic objective function, convex quadratic equality constraints, as well as a perturbation variable and yields a feasible direction of descent (improved direction). The following results on the NSQCQP are obtained: the subproblem solved at each iteration is feasible and solvable: the NSQCQP is globally convergent under the Mangasarian-Fromovitz constraint qualification (MFCQ); the improved direction can avoid the Maratos effect without the assumption of strict complementarity; the NSQCQP is superlinearly and quasiquadratically convergent under some weak assumptions without thestrict complementarity assumption and the linear independence constraint qualification (LICQ). Research supported by the National Natural Science Foundation of China Project 10261001 and Guangxi Science Foundation Projects 0236001 and 0249003. The author thanks two anonymous referees for valuable comments and suggestions on the original version of this paper.  相似文献
6.
A hybrid method for solving inverse boundary problems is presented. The method consists in combining the genetic algorithms with a new system of integral equations. The effectiveness of the general idea of the method and its practical application are tested in the identification of material constants for a two-dimensional anisotropic medium.  相似文献
7.
This article is a improvement on author's early work (Acta Mathematica Scientia, Vol.30 No.2 Ser.A 2010). In this article, there are two new contributions: 1) The restrictive conditions on approximation domain boundary is improved essentially. 2) The Fejér points is extended by perturbed Fejér points with stable order of approximation.  相似文献
8.
对于无放回抽样和有放回抽样两种情形,研究了"序列号"方法,给出并讨论了某些相关的估计量的优良性.  相似文献
9.
引入了图的符号星部分控制的概念.设G=(V,E)是一个简单连通图, M是V的一个子集.一个函数f:E→{-1,1}若满足∑e∈E(v)f(e)≥1对M中的每个顶点v都成立,则称f是图G的一个符号星部分控制函数,其中E(v)表示G中与v点相关连的边集.图G的符号星部分控制数定义为γM(85)(G)=min{∑e∈Ef(e)|f是G的符号星部分控制函数}.在本文中我们主要给出了一般图的符号星部分控制数的上界和下界,并确定了路、圈和完全图的符号星部分控制数的精确值.作为我们引入的这一新概念的一个应用,求出了完全图的符号星k控制数.  相似文献
10.
周仲旺  马振军 《数学杂志》2016,36(1):112-116
本文研究了图的强符号圈控制数γ''ssc(G).利用最大独立集最大匹配等方法,刻画了满足γ''ssc(G)=|E|-2的所有连通图,给出了γ''ssc(G)的一个下界,求出了两类特殊图的强符号圈控制数.  相似文献
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