Newton's Method

Chapters
0:00 Intro
0:12 Newton's Method
0:53 Newton's Method Visualized
1:47 Finding Square Root (see correction)
2:30 Example
3:43 Order
4:26 Thanks For Watching

Further Viewing:

#NewtonsMethod

[vineetkumaranand]

In 2020 still this video explains the stuff so easily that no other video explains 🙏🙏

[sinewavey]

Honestly, this video still holds up well after 7 years. Your stuff really helps, thanks!

[harjitsingh]

2019 and this video is still the best. Mathematics never changes, this video will still be as helpful in 100 years from now just as it is today.

[oussamaelbazzim]

Its 2024 and this is still one banger of a video.Great explanation as usual.Many thanks !

[mikepowell]

These videos are super helpful, an hour lecture condensed into 5 minutes!

[luqmansen]

Wow, just found this gem in 2019, very simple explanation, great video !

[ai_serf]

Wanted to learn about taylor series, the rabbit hole has taken me to this foundational level. I love how you suggest foundational videos! this is a key element in presenting material! Thank you for great idea!

[aftabhassan]

@Oscar Veliz, great video! At 2:28, isn't is x_n+1 = 1/2(x_n + a/x_n) though? Isn't it a + sign as opposed to a - sign?

[maddy]

Love your videos, they are so helpful in such a short amount of time. The only thing I would like to see is smaller subtitles!

[conformist]

Very helpful video, simple and short, while still getting to the important points.
Many thanks.

[panthopothik]

This is exactly what I was looking for. Thanks so much

[koreedeiqbal]

Please explain Which software is used for this video making ❤

[sushankhyachapagain]

Great job dude. Your videos helps a lot.

[Maxim]

Could you explain the next thing? Maybe you know bezier curves and you know what in the most solutions use Newton-Raphson method. But as far we know we use this formula on every iteration t = t - (bezierX(t) - x) / derivativeX. But in here I dont understand why we are dividing bezierX - x on derivativeX. Why don't we simply divide bezierX on derivativeX. What is it "-x" and why does it require. P.S of course "x" is initial point on x axis.

[alexandrevachon]

For x^7 - 1000, it means finding the 7th root of 1000. Speaking of square roots, have you heard of the fast inverse square root? This algorithm was used in the Quake III video game. With this algorithm, it resulted in a speedup of performance in the game, a very smart use of such a root-finding algorithm.

[djamelaitamrane]

combining Newt and bisection gives more safety.
i am looking for a C code with an example if it's possible .

[tac]

So whenever we find the tangent line to the point X, the next X should be at the point where the tangent intersects the x-axis?

[ccuuttww]

I think Newton's method can also find minimum or maximum value
but I don't if it can handle the equation like this:

It is a discontinous function I have tried it with quadratic interpolation
I get only the smallest local minimum

[adelmalik]

good job and thank you so much  very helpful

[kikokimo]

And what about the convergence? Is there something like g'(x) < 1? And how to calculate, after how many iterations it converges for a specific function? Like the bisection method?