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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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