节点文献
The Convergence of the Steepest Descent Algorithm for D.C.Optimization
【摘要】 <正>Some properties of a class of quasi-differentiable functions(the difference of two finite convex functions) are considered in this paper.And the convergence of the steepest descent algorithm for unconstrained and constrained quasi-differentiable programming is proved.
【Abstract】 Some properties of a class of quasi-differentiable functions(the difference of two finite convex functions) are considered in this paper.And the convergence of the steepest descent algorithm for unconstrained and constrained quasi-differentiable programming is proved.
【关键词】 nonsmooth optimization;
D.C.optimization;
upper semi-continuous;
lower semi-continuous;
steepest descent algorithm;
convergence;
【Key words】 nonsmooth optimization; D.C.optimization; upper semi-continuous; lower semi-continuous; steepest descent algorithm; convergence;
【Key words】 nonsmooth optimization; D.C.optimization; upper semi-continuous; lower semi-continuous; steepest descent algorithm; convergence;
【基金】 Supported by the State Foundations of Ph.D.Units(20020141013);Supported by the NSF of China(10001007)
- 【文献出处】 数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2007年01期
- 【分类号】O224
- 【被引频次】1
- 【下载频次】36