Write one a MATLAB function that implements the Bisection method, Newton’s method and Secant Method (all...

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Advance Math

Write one a MATLAB function that implements the Bisectionmethod, Newton’s method and Secant Method (all in one function).Your function must have the following signature
function output = solve(f,options)
% your code here
end
where
the input is
• f: the function in f(x) =0.
options: is a struct type with the following fields o method:bisection, newton or secant
tol: the tolerance for stopping the iterations.
maximum_iterations: the maximum number of iterationsallowed.
initial_guess: that is P_0; if the method needs it
df: the derivative of f if the method needs it
initial_interval: if the method needs it
the output is also a struct type with the following fields
• message: either ‘success’ or an error message.
• root: the solution in case of success.
• iterations: an array that saves all iterations of thealgorithm. Each row represents an iteration of the algorithm. Eachrow must contain P_n, f(P_n) and |P_n-P_n-1|.
Write a script file that tests your function using thefollowing equations
600x^4 – 550x^3 +200x^2 – 20x -1 = 0

Answer & Explanation Solved by verified expert

3.9 Ratings (412 Votes)

function dummybiscnewtonsecant clc clear all fx600x4 550x3 200x220x 1 function fpx6004x3 5503x2 2002x20 derivative of unction tol1e8 a0 b2 interval x005 dispRoot by Bisection method ybisecionfabtol function calling a10 b11 interval dispRoot by fixed point method C1fixedpgx0tol function calling dispRoot by Newton method y2newtfx0tol function calling a205 b22 interval dispRoot by Secant method See Answer

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