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91.
基于代数等价变换和在KMM算法的框架基础上,在原始-对偶内点方法的牛顿方程里嵌入一种自调节功能.从而对凸二次规划提出了一种新的迭代方向的不可行内点算法,并证明了算法的全局收敛性. 相似文献
92.
Clovis C. Gonzaga 《Mathematical Programming》1991,52(1-3):209-225
Interior methods for linear programming were designed mainly for problems formulated with equality constraints and non-negative variables. The formulation with inequality constraints has shown to be very convenient for practical implementations, and the translation of methods designed for one formulation into the other is not trivial. This paper relates the geometric features of both representations, shows how to transport data and procedures between them and shows how cones and conical projections can be associated with inequality constraints. 相似文献
93.
Motivated by a simple optimal control problem with state constraints, we consider an inexact implementation of the primal-dual interior point algorithm of Zhang, Tapia, and Dennis. We show how the control problem can be formulated as a linear program in an infinite dimensional space in two different ways and prove convergence results.The research of this author was supported by an Overseas Research Scholarship of the Ministry of Education, Science and Culture of Japan.The research of this author was supported by National Science Foundation grants #DMS-9024622 and #DMS-9321938, North Atlantic Treaty Organization grant #CRG 920067, and an allocation of computing resources from the North Carolina Supercomputing Program.The research of this author was supported by North Atlantic Treaty Organization grant #CRG 920067. 相似文献
94.
The transient temperature fields and dynamic thermal stress fields in gun barrel are studied in this paper, which are problems of interior ballistics.The high blast temperature and pressure act simultaneously on the inner surface of the barrel behind projectile moving in the barrel during shooting. Under this boundary condition, the governing equations of the thermoelastic problems of hollow cylinder are given, the corresponding functional is studied and the numerical results calculated by the finite element method are obtained. 相似文献
95.
It has been proved that if a rectangle is dissected into three congruent pieces,then those pieces must themselves be rectangles. In the present paper this result is generalized to the case of parallelogram. 相似文献
96.
组合同伦方法在无界域上的收敛性 总被引:3,自引:0,他引:3
组合同伦内点法由Feng等提出,是求解有界区域上的非凸数学规划的一种大范围收敛性方法,本文证明此算法适用于某些无界区域上的非凸数学规划问题。 相似文献
97.
A New Decomposition Technique in Solving Multistage Stochastic Linear Programs by Infeasible Interior Point Methods 总被引:1,自引:0,他引:1
Multistage stochastic linear programming (MSLP) is a powerful tool for making decisions under uncertainty. A deterministic equivalent problem of MSLP is a large-scale linear program with nonanticipativity constraints. Recently developed infeasible interior point methods are used to solve the resulting linear program. Technical problems arising from this approach include rank reduction and computation of search directions. The sparsity of the nonanticipativity constraints and the special structure of the problem are exploited by the interior point method. Preliminary numerical results are reported. The study shows that, by combining the infeasible interior point methods and specific decomposition techniques, it is possible to greatly improve the computability of multistage stochastic linear programs. 相似文献
98.
Giovanna Idone 《Journal of Global Optimization》2004,28(1):45-53
A continuum model of transportation network is considered in presence of capacity constraints on the flow. The equilibrium conditions are expressed in terms of a Variational Inequality for which an existence theorem is provided. 相似文献
99.
Wiesława T. Obuchowska 《Computational Optimization and Applications》2004,29(1):69-90
In this paper we analyze properties of the analytic centers for perturbed convex problems. In particular we study the continuity of convex regions with respect to such characteristics as boundedness, full dimensionality and the existence of an analytic centre. Furthermore, we state the necessary and sufficient conditions for the existence of the analytic centre for possibly unbounded regions and we show that the analytic centre is identical for any minimal representation of the convex set. We are also concerned with the limiting behaviour of the central path as it approaches the set of optimal solutions of the problem. 相似文献
100.
LU Zaiping WANG Changqun & XU MingyaoLMAM School of Mathematical Sciences Peking University Beijing China Department of Mathematics Zhengzhou University Zhengzhou ChinaPresent address: Department of Mathematics Qufu Normal University Qufu China. 《中国科学A辑(英文版)》2004,47(1):1-17
A graph r is said to be G-semisymmetric if it is regular and there exists a subgroup G of A := Aut(Г) acting transitively on its edge set but not on its vertex set. In the case of G. = A, we call r a semisymmetric graph. The aim of this paper is to investigate (G-)semisymmetric graphs of prime degree. We give a group-theoretical construction of such graphs, and give a classification of semisymmetric cubic graphs of order 6p2 for an odd prime p. 相似文献