Golden Section Search Method

Organized by textbook: learncheme.com/ Describes how the Golden Search Method works and then describes how to set it up in Microsoft Excel. Made by faculty at the University of Colorado Boulder, Department of Chemical & Biological Engineering.
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[@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.

[@somethingdifferent1910]

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

[@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.

[@benbrown199690bb]

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

[@AJ-et3vf]

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

[@RandomItchyUser]

Such a great explanation! Greatings from Argentina

[@MohammedBakheet]

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

[@thegloriousgoldeneagle]

Sir I love your videos! Thank you.

[@fffppp8762]

b=10 or 4?

[@user-gl4nc2to2e]

great explanation

[@user-eb6bg4oh4h]

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

[@esosaekuobase4753]

Thanks

[@kevinkameswara7170]

Thank you very much for the explanation

[@oleersoy6547]

Very FRIGGIN AWESOME!!

[@akashjadhav2218]

absolutely great sir

[@aswinibanerjee6261]

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

[@bttfish]

excellent explaination!!

[@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

[@renjing]

So this only works for convex/concave functions?

[@rawwringquokka]

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

[@BnymnSntrkNu]

thanks, clean and simple.

[@lucasyoung2909]

very clear, thank you~

[@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)

[@Bunty793]

isn't the golden ratio 1.618

[@0nly_sh0rts]

good one...thank you!

[@ElBuenAgua]

Awesome thanks!

[@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?

[@himself9278]

Kindly present the following in R

[@7SOON26]

amazing

[@PinguExpert]

Thanks fam

[@sameterayerdem676]

so good expression

[@tutkuduruer6772]

perfect

[@dhruvpurwar6642]

Great

[@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

[@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).

[@luiscalderon204]

The Golden ratio here is incorrect

[@berkaybicer4249]

bence de kanka aynı formülü yazmış yeah it is not correct for me too

[@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.