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Database System Concepts
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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Write a MATLAB code for Newton's method to find solution accurate to within 10 for the following problem. Choose No = 20 and pPo = 0.25. f (x) = sin x – e=* = 0 f'(x) = cos (x) +e* ALGORITHM Newton's 2.3 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 Set p = Po - f(Po)/f'(Po). (Compute p.) Step 4 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.
Transcribed Image Text:Write a MATLAB code for Newton's method to find solution accurate to within 10 for the following problem. Choose No = 20 and pPo = 0.25. f (x) = sin x – e=* = 0 f'(x) = cos (x) +e* ALGORITHM Newton's 2.3 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 Set p = Po - f(Po)/f'(Po). (Compute p.) Step 4 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.
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