NEWTON'S METHOD AS A MEAN VALUE METHOD

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Title: NEWTON'S METHOD AS A MEAN VALUE METHOD
Author: Tran, Vanthu Thy
Description: In this thesis, the relationships between fixed-point problems, relaxation methods and Newton's method were investigated. It was proven that Newton's method was a modified relaxation method, whose mean value parameter approached the optimal parameter for relaxation method. Also, under some conditions on the derivative of the function whose fixed point was sought, a convergent relaxation sequence that converged to a fixed point of the function was introduced.
Permanent Link: http://rave.ohiolink.edu/etdc/view?acc_num=akron1176739678
http://hdl.handle.net/2374.OX/3391
Date: 2007

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