关键词： 极限分析   凸函数   刚塑性结构   数学规划算法  

摘要： 从塑性极限分析理论的上限定理出发，将理想刚塑性结构极限分析问题归化为求：ｆ（ｘ１，ｘ２，…，ｘｎ）＝∑Ｒｉ＝１∑ｎｊ＝１ａｉｊｘｊ＋ｂｉ的凸函数的最小值及最小值点的问题，给出了解决上述问题的数学规划算法。

关键词： Shannon-type techniques   Fourier interpolation   Aperture synthesis   Reconstruction  

摘要： A new class of phase-calibration algorithms is presented. The originality of these algorithms, as well as their efficiency, results from certain particular structures, the analysis of which calls on algebraic graph theory. The corresponding optimization process, which is based on the principle of the trust-region methods, proves to be well suited to these structures. The main message that emerges from the study is very clear: The traditional notions of phase closure imaging can be understood and refined in a wider framework. The implications of this research therefore concern all the fields in which the notion of phase closure plays a key role: weak-phase imaging in optical interferometry, radio imaging, remote sensing by aperture synthesis, etc. (C) 1998 Optical Society of America.

摘要： In this paper, a novel formulation is presented for the short-term scheduling of batch plants. The proposed formulation is based on a continuous time representation and results in a Mixed Integer Linear Programming (MILP) problem. In contrast to the previously published continuous-time scheduling formulations, the proposed approach leads to smaller and simpler mathematical models which exhibit fewer binary and continuous variables, have smaller integrality gaps, require fewer constraints, need fewer linear programming relaxations, and can be solved in significantly less CPU time. Several examples are presented that illustrate the effectiveness of the proposed formulation and comparisons with other approaches are provided. (C) 1998 Elsevier Science Ltd. All rights reserved.

摘要： In this contribution the application of a genetic algorithm to a real-world scheduling problem with highly coupled production is presented. Since the schedules are highly constrained, special attention is paid to the handling of constraints at the different levels of the implementation of the algorithm. The quality of the result and its numerical performance is discussed in comparison with a mathematical programming algorithm. (C) 1998 Elsevier Science Ltd. All rights reserved.

关键词： Algebra  

摘要： The problem of global uniformization of algebraic correspondence is investigated. The weaker assumptions are used in the analysis. © 1998 Technika.

关键词： 算筹   筹算   算法   数学机械化  

摘要： 本文从现代计算机技术的角度来分析中国传统数学机械化的“硬件系统”和“软件系统”。重点论述算筹是中国传统数学机械化的物质基础，优越的计算工具和十进位置值制记数法为数学机械化提供了得天独厚的条件；而制定算法是数学的根本，也可以说是中华民族的价值观在数学中的表现，变换技术和改进算法是数学机械化的核心内容。中国传统数学的算法化倾向以及算筹的不断改进、完善，又促使机械化水平的提高和计算技术的长期发达。

关键词： Control theory  

摘要： Higher order iterations for computing the matrix sign function of complex matrices are developed in this paper. The technique of generating higher order fixed point function produces the Newton's and Halley's methods as special cases for solving the equations S2 = I, and such that SA = AS has all its eigenvalues in the right half plane. The matrix sign function is used to compute the positive semidefinite solution of the algebraic Riccati and Lyapunov matrix equations. The performance of these methods is demonstrated by several examples.

关键词： differential-algebraic equations   consistent initial values   boundary value methods  

摘要： We use boundary value methods to compute consistent initial values for fully implicit nonlinear differential-algebraic equations. The obtained algorithm uses variable order formulae and a deferred correction technique to evaluate the error. A rigorous theory is stated for nonlinear index 1, 2 and 3 DAEs of Hessenberg form. Numerical tests on classical index 1, 2 and 3 DAE problems are reported.

关键词： 教师   综合考核   数学模型   算法  

摘要： 教师综合考核数学模型及其算法肖桃芳刘福来肖随贵胡源罗继荣钟剑肖承志袁林（赣南师范学院，江西赣州，３４１０００）０引言教师综合考核是一个多目标决策问题，当前求解多目标决策问题，有许多方法，其中基于效用函数理论的加性加权法以其特有的思路清晰、方法简便和...

关键词： 循环债务   债务网络   分解破圈   数学模型   优化算法  

摘要： 给出了循环债务问题的一种非常直观的数学模型，通过将债务网络分解为双向连通分支，依次寻求并破除各分支的最大容量有向圈，为实施企业间的债务对消，解决循环债务问题提供了一种切实可行的方法－分解破圈法。