单侧广义Hessian与广义泰勒展式(英文)  

Unilateral generalized Hessians and generalized Taylor's expansions

作　　者：李洪旭[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2007年第1期11-16,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(10301025)

摘　　要：利用连续Gateaux可微函数的单侧广义Hessian建立了广义泰勒展式,并由此给出一个二阶优化条件.本文的结果包含了一些已有结果.A generalized Taylor＇ s expansion is presented in terms of unilateral generalized Hessians which are introduced in this paper for continuously Gateaux differentiable functions. As an application, we give a second-order sufficient optimal condition. Our results include some known results.

关 键 词：单侧广义Hessian 小弱逼近Hessian 二阶Dini方向导数 二阶优化条件 

分 类 号：O173.1[理学—数学]