共查询到20条相似文献,搜索用时 93 毫秒
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利用逆矩阵的Neumann级数形式,将在离散时间跳跃线性二次控制问题中遇到的含未知矩阵之逆的离散对偶代数Riccati方程(DCARE)转化为高次多项式矩阵方程组,然后采用牛顿算法求高次多项式矩阵方程组的异类约束解,并采用修正共轭梯度法求由牛顿算法每一步迭代计算导出的线性矩阵方程组的异类约束解或者异类约束最小二乘解,建立求DCARE的异类约束解的双迭代算法.双迭代算法仅要求DCARE有异类约束解,不要求它的异类约束解唯一,也不对它的系数矩阵做附加限定.数值算例表明,双迭代算法是有效的. 相似文献
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N. Z. Shor Yu. V. Voitishin V. M. Glushkov 《Computational Optimization and Applications》1996,6(3):293-303
This article deals with a method to compute bounds in algorithms for solving the generalized set packing/partitioning problems. The problems under investigation can be solved by the branch and bound method. Linear bounds computed by the simplex method are usually used. It is well known that this method breaks down on some occasions because the corresponding linear programming problems are degenerate. However, it is possible to use the dual (Lagrange) bounds instead of the linear bounds. A partial realization of this approach is described that uses a network relaxation of the initial problem. The possibilities for using the dual network bounds in the approximation techniques to solve the problems under investigation are described. 相似文献
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首先介绍了多元随机变量和的边界,以及由此导出的VaR边界,然后全面总结了有关Copula下界的公式,而Copula下界及其对偶函数分别构成计算VaR边界的依据.最后根据VaR边界的数值算法,针对不同的Copula下界,分多种情景详细分析了VaR的边界范围.关于上证指数和深成指数收益率序列的实证分析发现.Spearman相关系数和正象限相依对VaR界的收窄作用最强. 相似文献
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In this study, the bounds for eigenvalues of the Laplacian operator on an L-shaped domain are determined. By adopting some special functions in Goerisch method for lower bounds and in traditional Rayleigh–Ritz method for upper bounds, very accurate bounds to eigenvalues for the problem are obtained. Numerical results show that these functions can also be successfully used to solve the problem on the region with other reentrant angle. 相似文献
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Existing techniques for solving nonconvex programming problems often rely on the availability of lower and upper bounds on the problem variables. This paper develops a method for obtaining these bounds when not all of them are availablea priori. The method is a generalization of the method of Fourier which finds bounds on variables satisfying linear inequality constraints. First, nonlinear inequality constraints are converted to equivalent sets of separable constraints. Generalized variable elimination techniques are used to reduce these to constraints in one variable. Bounds on that variable are obtained and an inductive process yields bounds on the others.Research Sponsored by the Office of Naval Research Grant N00014-89-J-1537. 相似文献
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In 2004, Tong found bounds for the approximation quality of a regular continued fraction convergent to a rational number,
expressed in bounds for both the previous and next approximation. The authors sharpen his results with a geometric method
and give both sharp upper and lower bounds. The asymptotic frequencies that these bounds occur are also calculated. 相似文献
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Upper and lower bounds are studied for the solutions of Markov renewal equations. Some of their special cases are derived
under specific marginal conditons and in an alternating environment. The method to construct the bounds is also explained
in detail. At the end, these bounds are applied to a shock model and an age-dependent branching process under Markovian environment. 相似文献
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Mohammad Z. Raqab 《Extremes》2003,6(3):259-273
We evaluate sharp upper bounds for the consecutive spacings of order statistics from an i.i.d. sample, measured in scale units generated by various central absolute moments of the parent distribution. The bounds are based on the projection method combined with the Hölder inequalities. We characterize the probability distributions for which the bounds are attained. We also evaluate the so obtained bounds numerically and compare them with other existing bounds. 相似文献
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Hyeonbae Kang Eunjoo Kim Graeme W. Milton 《Calculus of Variations and Partial Differential Equations》2012,45(3-4):367-401
We deal with the problem of estimating the volume of inclusions using a small number of boundary measurements in electrical impedance tomography. We derive upper and lower bounds on the volume fractions of inclusions, or more generally two phase mixtures, using two boundary measurements in two dimensions. These bounds are optimal in the sense that they are attained by certain configurations with some boundary data. We derive the bounds using the translation method which uses classical variational principles with a null Lagrangian. We then obtain necessary conditions for the bounds to be attained and prove that these bounds are attained by inclusions inside which the field is uniform. When special boundary conditions are imposed the bounds reduce to those obtained by Milton and these in turn are shown here to reduce to those of Capdeboscq–Vogelius in the limit when the volume fraction tends to zero. The bounds of this article, and those of Milton, work for inclusions of arbitrary volume fractions. We then perform some numerical experiments to demonstrate how good these bounds are. 相似文献
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Diego Jacinto Fiorotto Silvio Alexandre de Araujo 《Annals of Operations Research》2014,217(1):213-231
We consider the capacitated lot sizing problem with multiple items, setup time and unrelated parallel machines. The aim of the article is to develop a Lagrangian heuristic to obtain good solutions to this problem and good lower bounds to certify the quality of solutions. Based on a strong reformulation of the problem as a shortest path problem, the Lagrangian relaxation is applied to the demand constraints (flow constraint) and the relaxed problem is decomposed per period and per machine. The subgradient optimization method is used to update the Lagrangian multipliers. A primal heuristic, based on transfers of production, is designed to generate feasible solutions (upper bounds). Computational results using data from the literature are presented and show that our method is efficient, produces lower bounds of good quality and competitive upper bounds, when compared with the bounds produced by another method from the literature and by high-performance MIP software. 相似文献
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The analogy between the conjugate gradient method for the solutionof linear simultaneous equations and a polynomial curve fittingproblem provides a means of determining bounds for the convergencerate of the conjugate gradient method. Chebyshev polynomialsare used to give bounds for the convergence rate associatedwith the main group of eigenvalues, assuming that the eigenvaluesare closely spaced within the group. Additional penalty functionsare developed to correct the convergence rate bounds when outlyingeigenvalues are present. 相似文献