牛頓型疊代法二次項效應

碩士 === 國立中央大學 === 土木工程研究所 === 88 === When solving nonlinear equations the Newton - Raphson method is used by many people. This research studies a Newton-type method which takes the second order terms into account. It was believed that the precise mechanism is still not well understood....

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Bibliographic Details
Main Author: 周宏勳
Other Authors: 李顯智
Format: Others
Language:zh-TW
Published: 2000
Online Access:http://ndltd.ncl.edu.tw/handle/48404061626470900279
Description
Summary:碩士 === 國立中央大學 === 土木工程研究所 === 88 === When solving nonlinear equations the Newton - Raphson method is used by many people. This research studies a Newton-type method which takes the second order terms into account. It was believed that the precise mechanism is still not well understood. This project compares the method having the second order terms with the Newton — Raphson’s method. For problems with different nonlinear equations the following items are investigated: (1)Numbers of iterations in the computations. (2)The influence of different kind of equations to number of iteration and CPU time.