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A robust Kantorovich’s theorem on inexact Newton’s method with relative residual error tolerance

Edited by: Hong Cheng Date: 2013-12-17   Hits: 5031

报告人:Professor Orizon  Ferreira (Instituto de Matematica, Universidade Federal de Goias, Brazil)

报告题目:  A robust Kantorovich’s theorem on inexact Newton’s method with relative residual error tolerance

摘要: We prove that under semi-local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q-linearly to a zero of the nonlinear operator under consideration. Using this result we show that the Newton method for minimizing a self-concordant function or to find a zero of an analytic function can be implemented with a fixed relative residual error tolerance.


地点:工商楼二楼报告厅
 
时间:12月25日(星期三)上午10:30--11:30


 
联系人:李冲 教授 

 


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