关于线性等式约束极小化中的ABS下降方向

On ABS descent directions for constrained minimization with linear equality constraints

对最近几年中利用ＡＢＳ算法研究线性等式约束极小化中下降方向的工 作进行了综述；结果表明，目前流行的许多极小化下降方向都可统一于 ＡＢＳ下降方向．对某些基本线搜索的ＡＢＳ形式，给出了一条有关不精确线 搜索算法的收敛条件的等价定理．

A survey for the research on using ABS methods in the last several years to study descent directions for constrained minimization with linear equality constraints is given. It turns out that many currently popular descent directions used in solving constrained minimization problems with linear equality constraints can be generated by ABS methods. In addition, an equivalence theorem of convergent condition under inexact line search is presented.