MATLAB Code of Newton-Raphson method for root finding

[@stergiostziahanas6532]

Made some modifications, hope this helps.. format short syms x % Define the function and its derivative f = @(x) x*log10(x) - 1.2; df = matlabFunction(diff(f(x), x)); % Convert symbolic derivative to function % Initial guess and parameters x0 = 1.5; n = 6; iter = 1; err = abs(f(x0)); epsilon = 5 * 10^(-n - 1); itermax = 70; % Array to store iteration data HG = []; % Check if the derivative at initial guess is non-zero if abs(df(x0)) < 10^(-9) disp('Wrong choice of initial Guess'); else % Newton-Raphson iteration while (iter epsilon) x1 = x0 - f(x0) / df(x0); err = abs(f(x1)); % Update error with new x1 value HG = [HG; iter, x0, f(x0), err]; % Append current iteration data iter = iter + 1; x0 = x1; % Update x0 for next iteration end end % Display results disp('====='); disp('Output Table with Iteration-wise Results'); % Convert results to table with column names Result = array2table(HG, 'VariableNames', {'Iteration', 'x', 'f(x)', 'Error'}); disp(Result); % Round solution to n decimal places x0 = round(x0, n); fprintf('Converged solution after %d iterations ', iter - 1); fprintf('Root is %2.*f ', n, x0);

[@jaffarlone8378]

Dear Sir, Your lectures are really very helpful. Please upload the videos on the MATLAB implementation of Descent Methods.

[@jacobjacob3687]

Appreciate much Dr Harish ,,,, God bless u ,, you have been help me so much ,,,, 🙏🙏👍👍

[@yaoxie3531]

An advice to improve the algorithm. The IF condition should be "abs(dfx(x0))

[@zainabakram1543]

sir i need the code for an ODE by using newton raphson method. can you give me?

[@PradeepKumar-eh1jr]

This code is not running in my system.

[@JARRARAHMED1]

Same

[@hutheifa4880]

Thank you dr. .... I have a question; does the value of roots changes if we use different value for the initial point?

[@DrHarishGarg]

No

[@hutheifa4880]

@@DrHarishGarg I have found a matlab code that finds the roots of two functions of two variables by using Newton Method. I know that for quadratic equation the roots should be two values; one +ve and one -ve of the same root value. This can be noticed with using different initial values. Thats why I raised my question earlier. However, how could we let the matlab code shows the both values without plotting. Hope my question is clear.

[@DrHarishGarg]

That's called as multiple roots of f(x)

[@sumitsana6170]

How can I write this code in "c"?

[@McPlaySpot]

Thank you Dr.

[@DrHarishGarg]

My pleasure dear

[@vivekmehta6833]

@@DrHarishGarg Hey! I'm a Freelancer and I do have pirated versions of the softwares. And I was planning to make videos on mechanical softwares like MATLAB, Solidworks, AutoCAD, etc on KZbin. Like how to design a particular thing or how to write a code for a particular problem. All these softwares cost 1000s of dollars a year for individual/commercial license which obviously I can't afford. If you could help me out with a few questions, I would be really grateful of you!!! 1) When I apply for monetization, will I be asked whether I have commerical licenses of the aforementioned softwares by KZbin? 2) If KZbin doesn't ask for commercial licenses and after that my content is monetized, at what point can I expect these companies to send me a notice regarding the licenses? At 10k subscribers? 50k? 100k? 3) How much money do KZbinrs with 10-50k subscribers from 3rd world countries like India get monthly? Any idea? 4) Is it really worth it? I mean I do have the skills and knowledge but I honestly don't think I would be able to afford these softwares until and unless I start earning 500-1000$ per month via KZbin.

[@kashafiftikhar1314]

Please sir code de dein Ricci tensor ka lea

[@nikolai7548]

Thanks sir.

[@hometutionacademybygowhers9594]

Best