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MATLAB Methods of Numerical Analysis: Please follow the instructions below Provide code source and screenshot Step by step, as much as possible

MATLAB Methods of Numerical Analysis: Please follow the instructions below Provide code source and screenshot Step by step, as much as possible

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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MATLAB

Methods of Numerical Analysis:

  • Please follow the instructions below
  • Provide code source and screenshot
  • Step by step, as much as possible
= (c) Run your code with f(x)= x + sin(x), x0 = 2, tol= 10−6, maxIter= 100. Record both the outputted approximation to the fixed point, and the number of iterations it took. (d) Run your code again with the same inputs, except using f(x)=x+ sin(x) (1 − cos(2x)). What do you observe?
Transcribed Image Text:= (c) Run your code with f(x)= x + sin(x), x0 = 2, tol= 10−6, maxIter= 100. Record both the outputted approximation to the fixed point, and the number of iterations it took. (d) Run your code again with the same inputs, except using f(x)=x+ sin(x) (1 − cos(2x)). What do you observe?
Problem 2: f(x)= x + sin(x). (a) Show that is a fixed-point of f. This question approximates the numerical value of π. Let (b) In your preferred language, write a script to perform fixed point iteration with inputs • a function f (whose fixed point we are trying to approximate) • an initial value, 20 • some tolerance, tol • a maximum number of iterations, maxIter, and stops either when we've reached the maximum number of iterations, maxlter, or the distance between consecutive approximations first falls below tol. Submit the code as part of your solution. (Continued on next page.)
Transcribed Image Text:Problem 2: f(x)= x + sin(x). (a) Show that is a fixed-point of f. This question approximates the numerical value of π. Let (b) In your preferred language, write a script to perform fixed point iteration with inputs • a function f (whose fixed point we are trying to approximate) • an initial value, 20 • some tolerance, tol • a maximum number of iterations, maxIter, and stops either when we've reached the maximum number of iterations, maxlter, or the distance between consecutive approximations first falls below tol. Submit the code as part of your solution. (Continued on next page.)
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