Equality and inequality constrained optimization algorithms with convergent stepsizes

In this paper, we consider two algorithms for nonlinear equality and inequality constrained optimization. Both algorithms utilize stepsize strategies based on differentiable penalty functions and quadratic programming subproblems. The essential difference between the algorithms is in the stepsize strategies used. The objective function in the quadratic subproblem includes a linear term that is dependent on the penalty functions. The quadratic objective function utilizes an approximate Hessian of the Lagrangian augmented by the penalty functions. In this approximation, it is possible to ignore the second-derivative terms arising from the constraints in the penalty functions.The penalty parameter is determined using a strategy, slightly different for each algorithm, that ensures boundedness as well as a descent property. In particular, the boundedness follows as the strategy is always satisfied for finite values of the parameter.These properties are utilized to establish global convergence and the condition under which unit stepsizes are achieved. There is also a compatibility between the quadratic objective function and the stepsize strategy to ensure the consistency of the properties for unit steps and subsequent convergence rates.This research was funded by SERC and ESRC research contracts. The author is grateful to Professors Laurence Dixon and David Mayne for their comments. The numerical results in the paper were obtained using a program written by Mr. Robin Becker.     

气密性碳涂覆光纤筛选强度与电阻关系研究

通过实验分析确立了把光纤电阻作为衡量气密性碳涂覆光纤通过２％应变筛选的过渡标准。要拉制２％应变筛选的碳涂覆光纤，其电阻值应小于３０ｋΩ／ｃｍ。     

Interval parameter perturbation method for evaluating the bounds on natural frequencies of structures with interval parameters

For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method proposed. The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation of China.     

Diagrams,orientations, and varieties

One of the central problems in the theory of ordered sets is to describe the orientations of the covering graph of an ordered set. We show that the particular operation called inversion, together with the classical constructions of retraction and product, provide a context for the classification of all such orientations. AMS subject classifications (1980). 06A10, 05C75, 05C20.     

钛合金（TC-6）二阶和三阶弹性常数

 用脉冲回波重叠法测量了钛合金（TC-6）的二阶、三阶弹性常数。实验中发现dμ/dp<0（p<0.17 GPa）,dμ/dp>0（p>0.17 GPa）。     

付里叶变换红外光谱仪的操作参数对光谱的影响

本文以二苯基甲酮的ＫＢｒ压片为标样，在Ｂｒｕｋｅｒ ＩＦＳ １２０ＨＲ付里叶变换红外光谱仪上系统考察了该仪器折一些重要操作参数（光源光栏、切趾函数、扫描速度）对光谱质量（信噪比，分辨率）的影响。从而获得了测样时的优化操作条件。     

荧光光谱法研究十六烷基三甲基溴化铵与牛血清白蛋白的相互作用

十六烷基三甲基溴化铵;牛血清白蛋白;结合反应;热力学参数;荧光光谱     

反相液体色谱中饱和醇保留行为的研究 Ⅰ.低碳醇保留行为与溶质分子结构的关系

本文从吸附-疏溶剂理论出发,根据热力学平衡观点,导出了一定固定相和流动相时,描述溶质保留行为与其分子结构关系的理论模型,并用之预测了饱和醇的保留值,获满意结果。从而表明本模型不但能用于同系物,而且亦可用于同分异构体及立体异构体保留行为的预测。     

电动势法测定Cu(Ⅰ)与乙炔生成配合物的热力学函数

乙炔与Cu(I)生成配合物的热力学函数文献报道鲜见,且不同作者的测定结果差异较大。本文用改进的电动势法。对在氯丁橡胶、聚氯乙烯,乙醛等工业过程有重大意义的Cu(I)与乙炔配合物进行测定,得到更合理的结果。     

气液色谱法研究一些五员杂环和Ni[CF_3COCHC(C_4H_4S)=NCH_2]_2加合反应的热力学性质

用气液色谱法研究过一系列作为Lewis碱(B)的有机配体和作为Lewis酸(A)的配合物之间的加合作用.研究较多的碱已有脂肪醇、醚、酮、醛、脂及胶等.对生物体系中广为存在的杂环配体碱的工作还很少.本文着重研究噻吩,呋喃和吡咯这类小分子杂环配体和Ni[CF_3COCHC(C_4H_4S)=NCH_2]_2(以下简称A)配合物的加合反应. Ni[CF_3COCHC(C_4H_4S)=NCH_2]_2的合成参考文献.固定液角鲨烷系英国进口,