Г-环的单位元与其算子环的单位元之间的关系

г—环的单位元是其算子环中的元素.本文探讨Г—的单位与其算子环的单位元之间的关系.举例表明存在Г—环(Г_N—环)M,它的左、右算子环均有单位元,而M既无左单位元,又无右单位元.那么在什么条件下,Г—环(Г_N—环)的左、右算子环具有单位元时,其本身必定具有左、右单位元呢?对Г—环和Г_N—环分别探讨了此问题,并给出了了解答此问题的充要条件.

A New Globally Convergent Algorithm for Nonlinear Constrainted Optimization Problems

In order to guarantee the globally convergence of the diffenence type SQP methods whose recently gave for the nonlinear constrainted optimization problems, they use the technique of penalty functions, so they must to correct the penalty parameter carefully. In this paper, we present a method which not only do not depend on the penalty parameter and the correct matrix can not are positive, and it possesses global convergence property but also, and the form penalty functions are simple and the rate of smooth of it equals to the rate of constrainted functions.