乘子增广式评述——并建议一个实用的增广式

Comment on Augmented Multiplier Method and Suggestion of a New Augmented Function

本文对现有的各种乘子增广式进行评述。研究了它们之间的关系。理论证明Dippllo G、Grippo L增广式的有效性最强。但实际应用不方便。作者建议一个实用的增广式,证明它与(EP)问题的联系较Hestenes增广式更强,并转化为一个参数的选取。

In this article,comments are made on all the present Augmented Multiplier Methods and the relationships among them are studied. It is proved that the Dippllo G. and Grippo L. [1][2]Augmented Functions are the most efficient,but not convenient in practice. The writers suggest a new Augmented Function and prove that the function is more tightly associated with(EP)than with H (x,λ,c)and is changed into a selection of a single parameter.