Golden Section Search Method

[@jaydenasper207]

unreal how easy topics can become when someone good at teaching teaches them. They need to start considering teaching ability when hiring professors at my school instead of only wanting field experts. THANK YOU!

[@imranzubairi6110]

Struggled to understand this topic in lectures, but I completely understand watching this. Thanks a lot.

[@benbrown199690bb]

It's so refreshing to finally find a video that clearly explains a concept that you've been struggling with. Thank you!

[@somethingdifferent1910]

Sir, at your first example it looked like your boundaryies were 0-4 not 0-10 .

[@AJ-et3vf]

Awesome video! Thank you! Truly a superb channel for learning numerical analysis with the wonderful software of Excel

[@potatomato_]

the example said get the minimum between x=0 and x=4 but the computation used b=10 :)

[@hilsCYBER]

true

[@bhargavasai7848]

same doubt

[@Steve4Physics]

Nice, clearly explained. But note that the golden ratio is GR = (1+√5)/2 ≈ 1.618. What you call the golden ratio (at 0:55) is in fact GR-1.

[@RandomItchyUser]

Such a great explanation! Greatings from Argentina

[@fffppp8762]

b=10 or 4?

[@thegloriousgoldeneagle]

Sir I love your videos! Thank you.

[@MohammedBakheet]

Thank you so much sir, your explanation is fantastic and very clear, keep it up :)

[@oleersoy6547]

Very FRIGGIN AWESOME!!

[@renjing]

So this only works for convex/concave functions?

[@rawwringquokka]

yeah, the assumption we take is that there is only one global minima

[@aswinibanerjee6261]

Great video. Can you share which software you use to produce such clean graphics

[@江犇翔]

Thank you! it is co clear that I can easily understand.

[@mattjensen9240]

my textbook says the opposite for fx1

[@ethanshapiro4208]

I have a similar issue. I think it is because he considers case where x2 < x1 where our textbooks consider x1 < x2

[@kevinkameswara7170]

Thank you very much for the explanation

[@akashjadhav2218]

absolutely great sir

[@AyushKumar-zy3yl]

a goog explanation 👍

[@bttfish]

excellent explaination!!

[@vaibhavyadav-w8g]

great explanation

[@BnymnSntrkNu]

thanks, clean and simple.

[@jerrylam5050]

Isn't golden ratio 1.618 instead of 0.618?

[@kailashks901]

I had the exact same doubt. In the MIT book it is given as ϕ = (1 +√5)/2 = 1.618 (golden ratio). I am gonna follow this one. d = rho * b + (1 - rho) * a, where rho is golden ratio - 1 (0.618)

[@01dom]

thank you

[@lucasyoung2909]

very clear, thank you~

[@himself9278]

Kindly present the following in R

[@flaguser4196]

so it's bisection but using the golden ratio instead of 1/2. is there any mathematical reason/advantage to use the golden ratio?

[@danielchowdhury1008]

Although I haven't learned this in college yet, I believe this is a bit different from the bisection method. In this method, it converges to the minimum of a function, which is not the case with the traditional bisection method. To find the minimum using the bisection method, you would need to calculate the derivative and then find when the derivative equals zero. Am I correct? Is there a specific bisection method for finding minimums and maximums?

[@esosaekuobase4753]

Thanks

[@ElBuenAgua]

Awesome thanks!

[@0nly_sh0rts]

good one...thank you!

[@yirahigoo7809]

How do you find the maximum?

[@JR-mk6ow]

Just use this method for -f(x).

[@drezryy6989]

@@JR-mk6ow I don't understand, what do you mean? change in the excel?

[@vaiebhavpatil2340]

@@drezryy6989 what he means is, finding minimum of f(x) is same as finding maxmimum of -f(x).

[@Bunty793]

isn't the golden ratio 1.618

[@7SOON26]

amazing

[@benmohandlhoussaine1563]

Can you implement this algorithm( golden rule by bisection method ) to matlab: at iteration k: interval [a_k ; b_k] d_k = (3a_k + b_k)/4 c_k = (a_k + b_k)/2 e_k = (a_k + 3b_k)/4 f(c_k) > f(e_k) ==> a_k+1 = c_k and b_k+1 = b_k f(d_k) > f(c_k) ==> a_k+1 = a_k and b_k+1 = c_k else a_k+1 = d_k and b_k+1 = e_k stop : when b_k - a_k

[@tutkuduruer6772]

perfect

[@dhruvpurwar6642]

Great

[@PinguExpert]

Thanks fam

[@sameterayerdem676]

so good expression

[@alvarez2244]

Please dont put up a video when you cant teach something in a simple way. You made a lot of confusing steps.4 or 10. You create more of a problem than a solution. I wasted 3 minutes trying to understand why you used 10 rather than 4. Thanks.

[@Chapz725]

He went out of his way to make educational vids for people like us . He fucked up, he is human. Calm your shit dude.