Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates (-¹) and (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 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.

Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates (-¹) and (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 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.

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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Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.

Question

Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates (-¹) and (0)
with a tolerance in function of at least OK using the secant method. Name the function mySecant 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.

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