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This document maybe distributed and/or modify it under the terms of either the GNU General Public License ( ), version 3 or later, or the Creative Commons Attribution License ( ), version 4.0 or later.Īll trademarks within this guide belong to their legitimate owners. a report (PDF or word document), that include: (a) cover page that contains your name project title etc.This document is Copyright © 2022 by the LibreOffice Documentation Team. We can use the linear (tangent-line) approximation to conclude that: 0= f(r) = f(20+h)-f(x0) +hf'(20) and therefore, unless f'(20) is close to 0:, f(:30) f'(x0) it follows that f(20) r = xo +hxo- f'(X) our new improved estimate x1 of r is therefore given by (30) 21 = 20 - f'(20) The next estimate x2 is obtained from 2 is exactly the same way as x1 was obtained from xo: f(x1) 22 = x - f'(a) continue in this way, if In is the current estimate, then the next estimate xn+1 is given by: 2n+1 = 2 Backward Error: Backward Error = *) 1Ģ Pseudo-code: Algorithm 1: Newton Method 1 Set an initial guess 2o 2 Set the number of steps n mari 3 Set n = 1: 4 do 5 In+1 = In - f' (1) n = n + 1 7 while n Project.m) 2. Since the true root is r, and h=r-20, the number h measures how far the estimate xo is from the truth. Introduction y = f(x) Tangent at Xo Tangent at Xi 22 21 20 Figure 1: Newton Raphson Method Let to be a good estimation of r and let r = co+h. for the flowchart you can use: o Microsoft Word (flowcharts) o draw.jo (on the web) o Microsoft Visio o LibreOffice o Paper and Pencil, then scan it or use your smartphone to take a picture and include it in your report o any you prefer.Source Code file names: o MatLab => yourname_project.m o C++ yourname_project.cpp.Please read the submission direction, let me know if you have any questions.

Libreoffice flowchart