Newton's Method | Lecture 14 | Numerical Methods for Engineers

Derivation of Newton's method for root finding.

[David-cxfc]

This is an amazing explanation. I took a Numerical Analysis course a couple years ago where we used it, but this really helped me gain a much deeper understanding. Thanks!!

[python]

Clear explanation and straight to point. Thank you!

[willymuller]

Thanks for your good explanation.
I am a bit puzzled with the expression of f(x)=x^2-2. How did you get that?
I am wondering what if another value apart from sqrt of 2 is to be found, then that means we should also guess another expression of f(x) right?

[louis]

Is this the same as the Newton Raphson Iterativ System? Thanks

[Arwaar]

such a nice explanation, thank you very much.

[blessingmutema]

Prof you explain this very clear thank you SIR😊

[natalijamarkovic]

Hello, this video was really helpful, but I have one follow-up question. How do we determine the last iteration for a general case, or what conditions do we need a solution to satisfy in order to consider it as the most accurate?

[fireflylyrics]

isn't there something wrong? aren't we supposed to substract aff xn then subtract f(x)/f'(x) ?

[baxterkakulas]

idk abt u guys but im droping 24/30 on this investigation

[alimishina]

Is this the same as Newton-Raphson method

[elaheataei]

Can you please explain the matter of selecting the right X0?
such that if a sufficient x0 is not selected the assumption of (x-x0)^2 < |x-x0| is not true. How should I determine if a correct X0 is selected?
I know the Burden book for Matlab coding gives an explanation of this by the Taylor polynomials series, yet it is not understandable.

[正淯羅]

how can use matlab to deal with the differential without using syms for usual case?

[bonganimathebula]

If you let f(x)=x - sqrt(2) you'll get a more accurate answer quickly (After the 1st iteration)