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 IPOSEQ is an algorithm for infeasible path optimization for sequential modular of petrochemical process design. Developed by L.T. Biegler and R.R. Hughes, the algorithm is very efficient for solving modular system optimization problems. However, because of various orders of magnitude and effects of variables, scaling becomes a major factor affecting its efficiency. The author found that the condition number (expressed by onenorm condition number) of Hessian of Lagrange has an intimate relationship with... IPOSEQ is an algorithm for infeasible path optimization for sequential modular of petrochemical process design. Developed by L.T. Biegler and R.R. Hughes, the algorithm is very efficient for solving modular system optimization problems. However, because of various orders of magnitude and effects of variables, scaling becomes a major factor affecting its efficiency. The author found that the condition number (expressed by onenorm condition number) of Hessian of Lagrange has an intimate relationship with the efficiency of IPOSEQ. It can thus be one guidance to scaling variables. The scaling sets based on △φ or x have about the same effects on the optimization of a ridge flash drum problem and a propylene chlorination problem. Rescaling after some steps of iteration, judging by the order of condition number of Hessian, improves the iteration effectively. The author explained this phenomenon by the machine precision and the BFGS updating equation. Futhermore, stucking of iteration on the superplane can be remedied for by using a bias initial Hessian instead of identity matrix, and rescaling.  IPOSEQ软件是一种与石油化工过程模拟软件配套的最优化方法.这是一种不可行域的序贯二次型规划方法,它可以同时完成循环流收敛和最优化迭代计算,是一种快速有效的优化方法。IPOSEQ的标度因子的选取迄今仍未解决.本文提出以拉格朗日函数海森阵的逼近矩阵的条件数,作为标度因子选取是否恰当的判据,并且提出多次标度的必要性。对于处在约束条件边界上的初始值,作者提出用偏倚初始阵代替单位阵以解决开始步长太小或过早结束迭代的问题。对一个闪蒸问题(二个设计变量,七个约束条件,一个循环流)和一个中等规模的丙烯氯化装置(九个设计变量和十个约束条件,两个循环流)的优化问题进行计算,得到了较满意的结果.  Let T be an operator from an Orlicz space with Orlicz norm into itself.It is shown that five algebraic conditions and one norm condition assure that T is a best approximation operator,given a suitable σlattice.  设T是映赋Orlicz范数的Orlicz空间到自身的一个算子.本文证明五个代数条件和一个范教条件足以保证T 是关于某个σ格的最佳逼近算子.  The legislative purpose of investment fund law is not only the important foundation for us to master its basic spirit and legislative structure, one norm of its legislative explanation，but also the foundation for th e authorities to administrate and guide the relevant activities. Therefore , to probe this question has significance both in theory and in practice. The aut hor argues that the legislative purpose should be provided in article of... The legislative purpose of investment fund law is not only the important foundation for us to master its basic spirit and legislative structure, one norm of its legislative explanation，but also the foundation for th e authorities to administrate and guide the relevant activities. Therefore , to probe this question has significance both in theory and in practice. The aut hor argues that the legislative purpose should be provided in article of the abovesaid law. With its contents including the protection of the investors and public interests. As to the mode of legislation, the p rotection of public in terests should adopt the method of summary and enumeration, whereas the protec tion of the investors should be provided only by the method of summary.  投资基金法的立法宗旨应在该法的第１条明文规定，其内容应包括投资 者利益的保护和公共利益的保护。在立法方式上，对于公共利益的保护应采取概括式加列举式的方法，对投资者利益的保护应采取概括式的方法。   << 更多相关文摘 



