Answered: Using Matlab, find the positive minimum…

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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Using Matlab, find the positive minimum point of the function f(x) = x^-2 * tan(x) by computing the zeros of f' (derivative of f) using Secant's method

Expert Solution

Step 1: Algorithm:

Start.
Define the function f(x) and its derivative f'(x) using anonymous functions in MATLAB.
Set the initial guesses x0 and x1, as well as tolerance for convergence and a maximum number of iterations.
Implement the Secant method to find the critical point of f'(x):
- Initialize a loop for a maximum number of iterations.
- Calculate a new approximation x2 using the Secant formula.
- Check for convergence by comparing the absolute difference between x2 and x1 with the tolerance.
- Update values for the next iteration (shift x0 and x1).
- Exit the loop if convergence is achieved.
Evaluate f(x) the critical point x2 to find the minimum point.
Display the critical point and the corresponding minimum value of f(x).
End.

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