Write a function m-file that implements the secant method. Your function should accept the following inputs (in order): 1. A function defining the roots problem 2. A vector of two initial guesses (first element is the first guess, second element is second guess) 3. A stopping criterion (es) for the numerical solution with a default value of 1e-5 4. A maximum iteration count for the numerical solution with a default value of 30 5. An arbitrary number of parameter values associated with the roots problem Your function should output the following four scalar outputs (in order): 1. The root estimate 2. The residual in the numerical solution 3. The approximate relative error in the numerical solution 4. The number of iterations required for convergence I recommend you use the examples newtonraphson.m and/or bisect param.m as starting points from which you develop your own function mfile for the secant method. Note: Test cases 3, 4, and 5 test the functionality of the default values for unspecified inputs and the parameter passing through varargin.

Write a function m-file that implements the secant method. Your function should accept the following inputs (in order): 1. A function defining the roots problem 2. A vector of two initial guesses (first element is the first guess, second element is second guess) 3. A stopping criterion (es) for the numerical solution with a default value of 1e-5 4. A maximum iteration count for the numerical solution with a default value of 30 5. An arbitrary number of parameter values associated with the roots problem Your function should output the following four scalar outputs (in order): 1. The root estimate 2. The residual in the numerical solution 3. The approximate relative error in the numerical solution 4. The number of iterations required for convergence I recommend you use the examples newtonraphson.m and/or bisect param.m as starting points from which you develop your own function mfile for the secant method. Note: Test cases 3, 4, and 5 test the functionality of the default values for unspecified inputs and the parameter passing through varargin.

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

Write a function m-file that implements the secant method. Your function should accept the following inputs (in order):
1. A function defining the roots problem
2. A vector of two initial guesses (first element is the first guess, second element is second guess)
3. A stopping criterion (es) for the numerical solution with a default value of 1e-5
4. A maximum iteration count for the numerical solution with a default value of 30
5. An arbitrary number of parameter values associated with the roots problem
Your function should output the following four scalar outputs (in order):
1. The root estimate
2. The residual in the numerical solution
3. The approximate relative error in the numerical solution
4. The number of iterations required for convergence
I recommend you use the examples newtonraphson.m and/or bisect param.m as starting points from which you develop your own function mfile for the secant method.
Note: Test cases 3, 4, and 5 test the functionality of the default values for unspecified inputs and the parameter passing through varargin,

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