Newton's To find a solution to f(x) = 0 given an initial approximation po: INPUT initial approximation po; tolerance TOL; maximum number of iterations No. OUTPUT approximate solution p or message of failure. Step 1 Set i 1. Step 2 While i No do Steps 3-6. Step 3 Step 4 Set p = Po-f(po)/f'(po). (Compute p.) If p-pol < TOL then OUTPUT (p); (The procedure was successful.) STOP. Step 5 Set i=i+1. Step 6 Set po = p. (Update po.) Step 7 OUTPUT (The method failed after No iterations, No = ', No); (The procedure was unsuccessful.) STOP.

Newton's To find a solution to f(x) = 0 given an initial approximation po: INPUT initial approximation po; tolerance TOL; maximum number of iterations No. OUTPUT approximate solution p or message of failure. Step 1 Set i 1. Step 2 While i No do Steps 3-6. Step 3 Step 4 Set p = Po-f(po)/f'(po). (Compute p.) If p-pol < TOL then OUTPUT (p); (The procedure was successful.) STOP. Step 5 Set i=i+1. Step 6 Set po = p. (Update po.) Step 7 OUTPUT (The method failed after No iterations, No = ', No); (The procedure was unsuccessful.) STOP.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Implement and reflect its actual code equivalent in MATLAB. Also, please include table showing the parameter values of each iteration and graphs of the method

Newton's
To find a solution to f(x) = 0 given an initial approximation po:
INPUT initial approximation po; tolerance TOL; maximum number of iterations No-
OUTPUT approximate solution p or message of failure.
Step 1 Set i = 1.
Step 2 While i < No do Steps 3-6.
Step 3
Step 4
Set p = Po-f(po)/f'(po). (Compute pi.)
If|p-Pol < TOL then
OUTPUT (p); (The procedure was successful.)
STOP.
Step 5
Set i=i+1.
Step 6 Set pop. (Update po.)
Step 7 OUTPUT (*The method failed after No iterations, No =', No);
(The procedure was unsuccessful.)
STOP.

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