Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates x(−¹) and x(0) with a tolerance in function of at least OK using the secant method. Name the function my Secant using as input the anonymous function f, the initial estimates xm1 and x0, the maximum number of iterations to perform N, and the required tolerance in function epsok. As output, the function shall return four scalar variables: the numerical solution x, its tolerance in function tol Func, its estimated relative error ere, and the number of iterations performed n. If the requested tolerance in function cannot be reached within N iterations, the function shall execute Matlab's error ("...") function with an appropriate error message. Other than this potential error message, do not print out any results to screen or do any plotting within the function. You must minimize the number of function calls required per iteration, by storing function call results in temporary storage variables. You may use only 1 function call to f to update the solution per iteration.
Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates x(−¹) and x(0) with a tolerance in function of at least OK using the secant method. Name the function my Secant using as input the anonymous function f, the initial estimates xm1 and x0, the maximum number of iterations to perform N, and the required tolerance in function epsok. As output, the function shall return four scalar variables: the numerical solution x, its tolerance in function tol Func, its estimated relative error ere, and the number of iterations performed n. If the requested tolerance in function cannot be reached within N iterations, the function shall execute Matlab's error ("...") function with an appropriate error message. Other than this potential error message, do not print out any results to screen or do any plotting within the function. You must minimize the number of function calls required per iteration, by storing function call results in temporary storage variables. You may use only 1 function call to f to update the solution per iteration.
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
Related questions
Question
Please use
function [x,tolFunc,ere,n] = mySecant(f,xm1,x0,N,epsok)

Transcribed Image Text:Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates x(−¹) and x(0)
with a tolerance in function of at least EOK using the secant method. Name the function my Secant using as input
the anonymous function f, the initial estimates xm1 and x0, the maximum number of iterations to perform N, and
the required tolerance in function epsok. As output, the function shall return four scalar variables: the numerical
solution X, its tolerance in function tolFunc, its estimated relative error ere, and the number of iterations performed
n. If the requested tolerance in function cannot be reached within N iterations, the function shall execute Matlab's
error("...") function with an appropriate error message. Other than this potential error message, do not print
out any results to screen or do any plotting within the function. You must minimize the number of function calls
required per iteration, by storing function call results in temporary storage variables. You may use only 1
function call to f to update the solution per iteration.
Expert Solution

Step 1
The answer for the above mentioned question is given in the below steps for your reference.
Step by step
Solved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education