Chapter 04.08: Lesson: Gauss-Seidel Method of Solving Simultaneous Linear Equations: Example: Part 2

[@nikitaovt159]

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[@LalolaLika]

I’m glad when you speak english.. most of the videos in youtube are in hindi which we non-indian people cannot understand.. thank you for helping us! ❤️

[@numericalmethodsguy]

Thank you. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers by the end of 2021. To get even more help, subscribe to the numericalmethodsguy channel kzbin.info, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email.

[@V2Viper25]

Using your videos to help study for my Numerical Analysis final. Huge help!

[@vanillangela]

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[@ViniciusEduardoSdaSilva]

I can only repeat what others have already said here: Great simple example! Big thanks from Brazil!

[@charlesman5870]

damn it is very good to search this video before exam, I do not understand those notation in the lecture but from your example, I know how to use it Thank god and I give u a like!

[@shubhamoysengupta442]

Sir you explanations are wonderful. Its a life saver before the exams.

[@harryclay_z06]

Really great video, I was really struggling with this for no reason. This made a lot of sense!

[@subish20me]

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[@numericalmethodsguy]

To get even more help, go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

[@KhalidAfridi1]

Thank you sir, it helped me a lot to understand my BS-Software Engineering course.

[@SChidawa]

Thanks a lot. I really appreciate this preside and brief Explanatory segment.

[@Utkuaksar]

thank you very much. I hadn't understood but I can solve through that video

[@dogisotibo8195]

thank you sir

[@NiwahaInnocent-u8c]

Thank you very much it has improved on my Gauss Siedel's knowledge of solving linear equations however the question needed only two iterations but you have calculated up to the 6th iteration

[@gebohorquezd]

You are a very good teacher. Very good job

[@tarunbaniyal135]

Thanks sir, it is going to add 5 marks for me now.👍

[@rickycax]

hello,very nice work here,thank you. what if teacher ask question which doesnt have starting values? what should we do then , take for starting value? [0,0,0] ? prof. just gives the system and ask solve this system "using Seidel iteration 3 steps."

[@mdeenny]

@rizwansahimy lambda is a question for gauss seidel with relaxation, try find topic about that... this video is about the basic of gauss seidel method

[@danishkiet]

Nice work, and very usefull 4 allz

[@3DPadawan]

Thank you from Indonesia ! it's really clear. Liked and subscribed

[@numericalmethodsguy]

In Gauss Seidel, you use the most recent value of the solution vector elements found so far; in Jacobi, you use the solution vector from the previous iteration to get the solution vector for next iteration.

[@viharparekh1512]

Thank you sir,you are genius and a good teacher....

[@gagsimon11]

Thanks for sharing. Very well explained example.

[@booysenbafana4358]

Thank you so much, much better understanding than when my lecture taught this to me

[@kaurharshpreet]

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[@yixiong3052]

thank you so much for giving such clear presented lecture

[@hoeyewhock4827]

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[@Qwme5]

Amazing Videos

[@aliyuksel3699]

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[@wilsonchegewahug8287]

Many thanks

[@profautarkaw]

Look at the playlist at the numericalmethodsguy channel. Newton Raphson method is there!

[@cristianeferreira4822]

Olá.... Sou acadêmica de Análise e desenvolvimento de Sistemas UTFPR(Universidade Tecnológica Federal do Paraná(Ponta Grossa)) - Brasil :D Apenas gostaria de agradecer pelas explicações!!! at. Cristiane Ferreira

[@nick81254]

i think i will survive my exam tomorrow thanx a lot sir !!!

[@61ceyar]

Thanks all of you,you are really Scientifics

[@disornr]

Thx very much!!!

[@numericalmethodsguy]

Yes, if the coefficient is diagonally dominant, convergence is assured. Go to nm(dot)mathforcollege(dot)com and click on Keyword. Click on Gauss Seidel Method. Read the textbook chapter.

[@marosal0707]

Great simple example. thnks

[@odongmartine1340]

Well, I like the explain so good but what I would like to know is what the the different between the Jacobi method and gauss Seidel method?

[@numericalmethodsguy]

Jacobi method uses the values from the previous iteration; Gauss Siedel uses the most recent values. So in Gauss Siedel, one could be in the current iteration and say when calculating x(3), you would use x(1) and x(2) from the current iteration as they are the recent values, and x(4),...,x(n) would be from the previous iteration.

[@vickyf7l]

TYVM really helpfull and easy to understand

[@jesdavid80]

Thank you, from Colombia. Muchas gracias, a pesar de que no hablo ingles entendi el ejercicio y como era el procedimiento para iterar.

[@romeoamu87]

thanks very much, its much clear now

[@ishurekhi6177]

In the start of the prior video , the question you asked was ' Find the answer after the 2nd iteration' , however the answer that you've given is the value of x1,x2 and x3 after the 6th iteration . Is this a mistake or is there a reason for stopping at the 6th iteration ?

[@rickycax]

@rickycax and what if what is teacher gives variables as x,y,z it still works?

[@divyammandalia810]

Do you have application based examples? Like volume is given in terms of dv/dt and the initial volume is given and we need to find the volume at some time t.

[@numericalmethodsguy]

+Divyam Mandalia Go to nm.MathForCollege.com for all resources. You are seeking solution of ODEs. See physical applications, etc.

[@MrAlekosD]

Thanks so much sir

[@topdecktunes]

I'm paying for a degree and watching these videos lol

[@numericalmethodsguy]

Thank you for your comments. To get even more help, go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods You can donate on the main page of the KZbin channel, if you want to redirect your money!!!!!

[@numericalmethodsguy]

@rickycax Unless you know the physics of the problem, an initial guess of [0,0,0] is as good as any.

[@samsui8866]

ty allot you help me allot ty

[@divyammandalia810]

Also anything related to leibmann equation?

[@MalaikaShah-f2q]

How to apply gauss seidel if matrix is not diagonally dominant

[@numericalmethodsguy]

Maybe rearrange equations if that make the coefficient matrix diagonally dominant. If it does not, do not fret. Use Gauss-Seidel as usual. Convergence may take place but it is not guaranteed!

[@numericalmethodsguy]

No ,you stop when the maximum of the absolute relative approximate errors is less than or equal to your pre specified tolerance. If the pre-specified tolerance was 1%, then I would have stopped at iteration number six.

[@numericalmethodsguy]

That was just to show how it converges.

[@dr.rajeevanb3471]

X3 after second iteration is 3.8117 and not 3.8118. Please check. X3 = (76 - 3 x 0.14679 - 7 x 3.7153) /13 = 3.811733. After rounding to 5 significant digits, X3 = 3.8117

[@maxsyamil3858]

Nice.I hope this proifessor come to teach in my uni lol

[@numericalmethodsguy]

The example is only for illustration. You can use it for any number of equations!

[@RiyadhSust]

tq sir..

[@mpizos]

thanks for sharing! :)

[@halflife1994]

do i need to stop at equation 6 to get the final answer???? plsss help

[@aonkhan5779]

i cannot understand how to check that iterations are less than tolerance,,everytime when i work with ur concept i got wrong ans...kindly guide me

[@profautarkaw]

+Aon Khan I can only help if you tell me how and what you got!

[@priradcliffe]

wow it was actually awesome. I'm sorry (I'm brazilian, so I couldn't understand some things, if someone could explain me I would be so grateful). The smaller percent error... it was a predefined result? how much I have to do it to get there? I don't know if someone is going to mean me but...

[@CrispyCyclicCenk]

thanks sir

[@atlrafa]

Thanks alot

[@numericalmethodsguy]

Thank you. To get even more help, go to MathForCollege.com/nm for more resources. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

[@kimmaquiling8593]

how do you get the maximum of those Approximate errors?

[@numericalmethodsguy]

Follow this mathforcollege.com/nm/mws/gen/04sle/mws_gen_sle_txt_seidel.pdf and learn about numerical methods at mathforcollege.com/nm

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I love you

[@numericalmethodsguy]

To get even more help, subscribe to the numericalmethodsguy channel kzbin.info, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Share these links with your friends through social media and email.

[@ReinAppeldoorn]

Thanks a lot :)

[@Zhazhael]

Nice!!!

[@zash005]

THANKS! PLEASE COULD YOU POST NEWTON RHAPSON METHOD?

[@Elite1666]

thank a lot!

[@halflife1994]

sir, what is the difference between gaus seidel and jacobi method?

[@ninjaquest]

Very useful, thank you! ^_^

[@obasimatictutorial]

awesome

[@Adhikarisubash56]

Thumps up if you are watching this just a day before exams :D

[@OR2NG7]

Is there a way to predict whether the equations will converge or not?

[@numericalmethodsguy]

The solution will converge if the matrix is strictly diagonally dominant or irreducible diagonally dominant. autarkaw.org/2016/11/04/implications-of-diagonally-dominant-matrices/

[@MrPaulrael]

Sir, I don't understand why someone would want to use this method when all you have to do is solve 3 simultaneous eqn's with 3 unknowns. Can you use this method on a system with more unknowns than equations?

[@rizwansahimy]

my question have a lambda how to solve that?

[@23youwatch]

ENDs like a BAWSE!

[@Zhazhael]

Nice english!!! XD

[@shamaladewi9923]

thank you sir

[@numericalmethodsguy]

Thank you. To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends through social media and email. Support the site by buying the textbooks at www.lulu.com/shop/search.ep?keyWords=autar+kaw&type= Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

[@avestak]

many thanks

[@davide4646]

thank you!