The Gauss-Seidel Method

An example of using the Gauss-Seidel iterative method to approximate the solution to a system of equations.

[@ihatecokealot]

6 years later and still saving student lives... thank you!

[@tifo13nightfury70]

make it 7

[@Peter-bg1ku]

You comment is a middle finger to Study pug

[@beyzanuraltikardes2743]

@@tifo13nightfury70 make it 8

[@iwatchwithnoads7480]

8 years later and still saving a profesional's life because who remembers engineering school anyway

[@otomdee]

getting close to 9 and still saving lives

[@MrYass24]

Thank you sir, it took our professor 4 sessions to explain these methods, that means 8 hours, now here you can understand in 20 minutes the three methods. Great job.

[@DaghsenStudy]

+TheMaster-Y the same case here but me, after wasting all this time i didn't undrestand from my professor :p ;)

[@hamzamizou2353]

+Khaoula Daghsen i swear that here in algeria we still have a luck on information and after 3 years of teaching that course the teacher can't explain well this course and the students still suffer so it took the whole semester and we can't understand

[@NourAslaoui]

hamza mizou kcheftna

[@hamzamizou2353]

the amzing thing here is that the example was mentioned in the last exam Nour Nounou

[@NourAslaoui]

hamza mizou Haha hopefully it happens to me too

[@dorotheekarma7306]

8 years later and you still saved me a lot of confusion 🥰

[@TechmanAmz]

Thank you Mr Waterman! You seriously have helped me so much! I have been struggling on this for a little while and compared to the other 1000's of videos i have watched, you have simply put it together!
Many thanks!

[@MilkChocolateMokey]

Also, thank you, 4 hours of lectures into less than 15 minutes of very clear explanation through example!

[@schoolfaqs]

This is amazing. I have an exam today and i never understood this till i came here. You are my hero.

[@esi5743]

Don't know if you see this, but thank you for your thorough explanation!

[@rajatsoni1090]

This is the more than perfect video for the given topics, thank you, sir.

[@mistervoldemort7540]

I watched the jacobi and gauss_seidel methods at 1.75 speed and understood eveything because the explanation was very clear. Thanks

[@user-ou7hd1zi2i]

Straight to the point and easy to understand. Thanks so much man.🙏🏽🙏🏽🙏🏽

[@ShadowSMG099]

7 years later and still saving students’ lives, thank you

[@Tushar15_]

Thanks Gregg! These are some brilliant tutorials.

[@nathanfothergill8868]

Thanks very much! Gonna be a big help as i missed my lecture on this and its easy to understand straight away

[@usthbgp6470]

the bestEST explication !!
thank you so much
très bien expliqué, merci Monsieur

[@wakaboomnick]

Lol!!! Searching for help for numerical methods on youtube, and math professor pops up. Not bad, Gregg Waterman, not bad . totally subscribed ;)

[@SmartThis]

is he your professor?

[@vassilisbakalas3423]

crazy how 8 years later this is better than uni lectures

[@TheNativeCrew]

Amazing, you make it so simple, thank you so much!

[@qwertz3813]

Thanks alot from Czechia 10 years later.

[@Armstrong1781]

THANK YOU
You did it in 6 minutes while others couldn't in 3 hours (2*1.5h)

[@chihaelwu3936]

7 years later and still saving student lives，Thank You

[@baturalpcelik]

Allah senden razı olsun ya valla iyi geldi

[@patrickvogel2932]

It's so easy thanks to the way you explain it, thanks alot!

[@findandgetanything]

This helped a lot! I'm indebted to your videos

[@ems0.]

Hello sir. I hope you are well. Thank you so much for your uploads, they still help us to this day!😊

[@philipsjr.3849]

learning this 2 hours before my numerical paper
thank you

[@SKHashmi]

simple way and understand able...thanks sir g

[@ohmyorion]

Thanks, much better than in lections, i've understood it eventually

[@NourAslaoui]

thank you, it helped me a lot

[@imranullah3097]

We need teacher like this. 💝

[@pramitgupta1372]

Excellent explanation sir

[@dingod6218756]

NICE，VERY EASY TO UNDERSTAND~ THANKS

[@TheMagmaMman]

Thank u so much, u actually save my life

[@tsuguruni]

thanks you so much, great tutorial

[@luanho6081]

Your lession is so useful

[@farahsmile4337]

Thank for this video ❤

[@awesomeguitarshorts]

So do I have to solve the equation in gauss elimination method first in order to to find the actual value and then proceed for gauss seidal method like you showed ??

[@vidien9814]

thank you, so amazing ^^

[@weihaoliu9764]

Thank you very much sir ! Merci!!

[@Oetzvel]

you are the best hocam. we love you

[@suryateja6513]

first in this sem
6 min is equal to 4marks
thankyou sir...

[@rajatsoni1090]

history repeated bro. i also got 4 marks in m minor marks

[@HassaanRaza]

simple and best explanation

[@MOKRABachour]

Thank you sir for this simple method

[@AhmedIbrahim-cz3xz]

I can't thank you enough.

[@vitoralves9850]

amazing. Thanks

[@hemanthmutyala5225]

thank you sir, very helpful

[@enesuysal5390]

Very clear, thanks

[@ishmummonjurnilock8950]

Lecture is great!!! Nice explanation but needs to improve the audio quality. Thank you

[@robinzirn4790]

9 years later and you saved me

[@akaashikeiji944]

Thank you! It only took 6 minutes for me to understand this. Our professor needed atleast 2 meetings=6 hours of lecture for him to fully discuss but still I can't understand a thing.

[@RSA_Shock]

9 years later and still saving students lives

[@hananeelouarghi6639]

the relaxation method plz .. thank you so much

[@morganfelix2424]

You taught well👏

[@tomerweinbach4059]

amazing!

[@bananahomer]

Thanks Mr. Waterman

[@boxingfan4817]

Mr Waterman thank you very much

[@tomcat5270]

very nice explanation

[@vishalchoure1993]

How does one know of the actual values? How did you find the actual values for this case to be (1,-3,2)?

[@watermanOIT]

This system can be solved exactly by elimination, or by row-reducing the augmented matrix. A system encountered in "real life" would likely not have an integer solution!

[@w1ndro1d]

@@watermanOIT or just use a calculator?😄

[@sumaiyamehzabin6921]

You are genius ❤

[@tadiwanashemoyo1533]

Perfect 💥💥

[@abhishektiwari280]

nice explanation

[@sammy141994]

really great .. thanx

[@sialir3179]

Thank you !

[@zekieymir]

how i calculate the error? i did not understand it

[@user-ej4xq1zj7o]

how can i solve this system with g-s method?
x-2y=5
2x+y=3

[@samanpaydar4415]

thank you wonderful

[@solidcipher3089]

thank you so much sir

[@otomdee]

Thank you so much

[@ramiabujaridh5309]

Thank you ❤️

[@xmartyxcs16]

Nice.. you are master

[@hansmatter4705]

thank you!

[@r3k0j9]

Dobry przekaz leci, pozdrowienia z Metod Numerycznych na POLSL

[@samueldwomor8590]

God bless you sir 🙏

[@decreer4567]

You summed up 2 hours worth of college lectures in 12 minutes. You sir should be getting my tuition money, not the professors lol.

[@grunt7882]

English isn't my native but I understood this method better then it is explained in my book...

[@user-zn4bg9bp8a]

How to go on until convergence closely enough to true value?

[@ericsoomro]

Refer to the following tutorial:
ua-cam.com/video/IKS7Io6t8fg/v-deo.html

[@JiraiyaPervySage1]

thanku so much!

[@longangviet4240]

Woww thankkk youuuu!!!

[@user-nz8sh3ep8y]

simple fast effificant
I have no ideal why our lecturer needs two hours to explain that

[@venny92ciaw]

thank you :)

[@youcefbacha623]

THANK YOU

[@mrunalipawar5553]

thanku so much sir

[@minji5978]

when should i stop the steps ?.. when it is closer to the actual number ?..

[@vishalchoure1993]

How does one know of the actual values? How did you find the actual values for this case to be (1,-3,2)?

[@thependulum5405]

just go on with your iterations until you're REALLY close to the actual value or if your Relative Percent Error and Approximate Percent Error hits 0.00N%

[@donaldcaga5962]

Use elimination method or substitution method for the given three linear equations.

[@comfortafwireng5641]

Can you end at the 2nd iteration please?!

[@user-gt2th3wz9c]

Best of the best fo the best.

[@DaghsenStudy]

realllly thannnnks
:)

[@reimaelsawy1195]

thank you so muchh

[@aminkhaliq6682]

Thanks Sir.

[@raghad6594]

Thanks ❤️

[@88NA]

thank you

[@muath1401]

When do we actually stop the iteration? Because the more i go the more my approximate error fluctuates and the more my numbers go insanely high

[@watermanOIT]

Gonkee is correct. I didn't want to get into that because I wanted to keep the video short and focused on the technique itself. Fortunately, the matrix for systems that arise in actual engineering situations ARE diagonally dominant.

[@muhammadabubakar639]

great job..but i didn't understand from where actual values come?

[@watermanOIT]

In this case the system can easily be solved by elimination or row reduction of the augmented matrix.

[@sahriarhossain360]

2023 and loved it !❤

[@michaeltruong405]

saving lives rn

[@nontagornsuwannawut8244]

Very Good

[@BurRun-kt3tf]

Thankអរគុណ❤

[@haricharan4872]

Thank you professor for the demonstration and I have a query in places where my analytical solutions or values of X are unknown so, how could I firmly assume that after a particular iteration these are my fitting values. do I compare my values with the previous iteration up to an accuracy of 3 digits or so to fix that these are the values required?. Please resolve this. Regards

[@raquelmelo3788]

Please, tell me when I should stop the steps. When gets closer to 1?

[@thethreetrain]

+Raquel Melo whenever you want

[@eto38581]

Matlab should do the trick

[@313CZECH]

Thanks :)

[@youssefessam2003]

Thanks

[@meriemboumedien5379]

thank u a lot . I watch this on march 2021 haha