1 / 1

XM=(XL+XR)/2

The mechanics of Newton, Bi-section, and Secant methods. Use 3 its of Newton to fine the root of f(X)=X 2 -3 near X =1. X=Xold +( -F/Fdash). Use 3 its of Bi-section to fine the root of f(X)=X 2 -3 between X =1 and X=2. XM=(XL+XR)/2.

ofira
Download Presentation

XM=(XL+XR)/2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. The mechanics of Newton, Bi-section, and Secant methods Use 3 its of Newton to fine the root of f(X)=X2-3 near X =1 X=Xold +( -F/Fdash) Use 3 its of Bi-section to fine the root of f(X)=X2-3 between X =1 and X=2 XM=(XL+XR)/2 Use 3 its of Secant to fine the root of f(X)=X2-3 between X =1 and X=2 XM=XR-FR*[(XL-XR)/FL-FR) Key: XL—guess left of root, XR—guess right of root, XM—new guess between XL and XR, Xold—old guess, X updated guess---FL = f(XL), FR=f(XR), FM=f(XM), F=f(Xold), Fdash=f’(Xold)

More Related