Fixed point iteration method - idea and example

In this video, we introduce the fixed point iteration method and look at an example.

[J-hkiw]

I don't understand how teachers and textbooks manage to make these topics ununderstandable. Great explanation!

[toraritte-]

I've been trying to understand what this mystical "fixed point" is for MONTHS and your video achieved it before the 1 minute mark. (The Nix package manager uses this theory for example to override package definitions.)

[neofortunate]

I've been trying to understand this topic/ module for a long time now but no luck. You're truly god sent, A whole big blessing Thank you so much. I fully understand all because of you. Stay blessed!

[aqwromio]

finally someone who actually does an example not only talks notations

[eulzzzz]

3:36 example (for those who don't have time)

[sumanbanerjee]

Thank you..understood at the 11th hour of exam..

[sanaomar]

I like ur explanation, thank you so much

[ri-san]

I understand that if, by chance, we plugged in p into g(x) = x + f(x) and we get g(p) = p, then we have found a solution for f(x).

What I don't understand is how we know that if we plug in an x — not necessarily p — then we know that to eventually converge to p, we use whatever g(x) = x + f(x) outputs as the new x.

[thiagomiyazaki]

Thanks a lot for your explanation! Really helped me understand this topic! I am definitely going to check your other videos!

[zaidjunaid]

Great video, make me understand the concept as well!!

[Anonymous-wtii]

Better than my numerical analysis' lecturer's explanation lol

[nurunnajwa]

Thank you! It help me to understand my programming assignment question :)

[Yuuo]

Thank you so much that’s was very helpful ✨🌸

[adamcurylo]

Thanks! Just a quick refresher under quarantine

[sanelisodlaba]

how did he get the values to substitute in those equations?

[johnlabaon]

What if the initial approximation is not given ?

[dan-cjrr]

Hi, for x(x-1) = 1 you say u start at xo =0 but i am not sure what are the next x0 you use, you say you get x2 = -1/2 but i have no clue why. It cannot be x0 = 1 so i am not sure what you use thanks.

[Heizungsrohre]

Great video. The way you write your x triggers me though

[Rahejannat-]

Sir can u solve this question
f(x)=x-e^-x by fixed iteration method ?

[tonytanyanxue]

Not same method as my lecture teaches.